Igor Ya. Subbotin (dedicated to 70th Birthday)
On March 25, 2020, Professor Igor Ya. Subbotin turned 70.
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2020 |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2020
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/188510 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Igor Ya. Subbotin (dedicated to 70th Birthday) // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. C–F. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860208444926066688 |
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| citation_txt | Igor Ya. Subbotin (dedicated to 70th Birthday) // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. C–F. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | On March 25, 2020, Professor Igor Ya. Subbotin turned 70.
|
| first_indexed | 2025-12-07T18:13:38Z |
| format | Article |
| fulltext |
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© Algebra and Discrete Mathematics
Volume 29 (2020). Number 2, pp. C–F
DOI:10.12958/adm1661
Igor Ya. Subbotin
(dedicated to the 70th birthday)
On March 25, 2020, Professor Igor Ya.
Subbotin turned 70. In 1967 Igor enrolled
in Kiev National Pedagogic University.
Soon Igor Subbotin became one of the
first members of the famous Kiev Group
Theory Seminar at the Institute of Math-
ematics of National Academy of Sciences
of Ukraine. At that seminar Igor Sub-
botin established friendly relations with
many other young mathematicians. This
warm and fruitful friendship continued
for decades and led to many collabora-
tive works.
In 1972 Igor Subbotin graduated with
the highest honors from Kiev National Ped-
agogical University. In December 1972 his
master thesis was published in Mathematical Notes (Matematicheskie
Zametki). S. N. Chernikov and the Department of Higher Mathematics
highly recommended him for Ph.D. studies, but because of some political
reasons Igor’s application was rejected by the so-called “public organiza-
tions”, as they were known at that time. Igor became a teacher at Kiev
High School #145 where he worked for more than 8 years. He always
recalls these years as a very productive and fruitful period of his life that
greatly impacted his future career and formed his personality and interest
in teaching mathematics.
In 1978 I. Ya. Subbotin was awarded his Ph.D. at Mathematics In-
stitute of the National Academy of Science of Ukraine. Igor’s thesis in
group theory was written under supervision of Professor S. N. Chernikov.
In 1980 Igor Subbotin became an Associate Professor of the Department
https://doi.org/10.12958/adm1661
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D Igor Ya. Subbotin
of Higher Mathematics of KPI–Kiev Polytechnic Institute (now Kiev Na-
tional Technology University). Those 12 years of working at KPI played a
key role in forming Igor’s skills in teaching of university level mathemat-
ics. He is especially thankful to the Chair of the Department, Professor
Fedor T. Baranovskii, who was Igor’s influential mentor in that process.
In 1993, Igor began his teaching and research career at the National
University, California, USA, where he has been working since that time.
He is a Full Professor and Academic Director of mathematics programs
there. I. Ya. Subbotin always speaks highly about the great support of
his research and teaching activities by the National University.
Igor Subbotin is very active in research. His list of publications includes
more than 150 research articles in algebra published in major mathematics
journals in many countries including Ukraine, USA, Germany, Switzerland,
Great Britain, Italy, Spain, China, Brazil, Hungary, Czech Republic, Turkey,
Poland, and Russia, 12 books in algebra, and more than 50 papers in
mathematics education.
In early seventies, I. Ya. Subbotin began his work on some aspects of the
normal structure of finite and infinite groups. This area of research takes
its roots in the works of R. Dedekind, O. Yu. Schmidt, S. N. Chernikov,
R. Baer, and O. Taussky. I. Ya. Subbotin focused on studying groups with
given properties of their normal subgroups and their generalizations. His
first steps in research were generalizations of the well-known T -groups, i.e.
groups with transitivity of normality. This topic has recently attracted a
lot of attention. It largely focuses on various interesting types of subgroups,
both close to normal and their antipodes. The role and influence of such
subgroups is particularly strong in the theory of finite groups. I. Ya. Sub-
botin was initiated the study of these subgroups in infinite groups. The
situation here is very different from what we can observe in the theory of
finite groups. For example, in some classes of infinite groups, pronormal
subgroups have properties that they cannot possess in the finite case.
In this connection, we want to mention an important result : description
by I. Subbotin and N. F. Kuzennyi of all infinite groups, having all sub-
groups pronormal. In collaboration with L. A. Kurdachenko, N. F. Kuzen-
nyi, J. Otal, G. Vincenzi, A. Russo and others, I. Ya. Subbotin studied
some important properties of pronormal, Carter, abnormal, contrarnormal
and other related types of subgroups of infinite groups and their influence
on the groups structure. Some new criteria of local nilpotency and nilpo-
tency in infinite groups were shown to be related to these subgroups and
a natural generalization of the notion of a Carter subgroup in the case
of infinite groups have been found in this way. Also, important classes
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Dedicated to the 70th birthday E
of groups saturated with above mentioned subgroups and groups with
transitivity of these subgroup properties have been described.
These works relied not only on the use of purely group-theoretic tech-
niques. In some cases the authors had to use module theory. Moreover,
often this theory had to be expanded. The obtained results became the ba-
sis for two books written jointly by L. A. Kurdachenko and J. Otal: Groups
with prescribed quotient groups and associated module theory, World Scien-
tific: New Jersey, London, Singapore, Hong Kong, 2002; and Artinian mod-
ules over group ring, Frontiers in Mathematics, Birkhäuser: Basel, 2007.
Another area of algebra that required special study was the theory
of infinite-dimensional linear groups. Theory of finite-dimensional linear
groups is one of the most developed algebraic theories. However the
theory of infinite-dimensional linear groups is only at an initial level. The
application of finite-dimensionality conditions proved to be very effective
here. In particular, it was demonstrated in the theory of finitary linear
groups. The concept of groups of finite central dimension, introduced
by L.A. Kurdachenko, opens new opportunities for description of some
naturally defined classes of infinite dimensional linear groups that are close
to ordinary finite-dimensional groups. Based on this approach, interesting
results on infinite-dimensional linear groups have been obtained lately
by L. A. Kurdachenko, M. Evans, M. Dixon, I. Ya. Subbotin, J. Otal,
J.-M. Munos-Escolano, and N. N. Semko.
Another approach, based on the study of various important families
of G-invariant subgroups, was implemented by I. Ya. Subbotin in collab-
oration with L. A. Kurdachenko and M. R. Dixon. These results were
summarized in a monograph on infinite dimensional linear groups, written
in collaboration with L. A. Kurdachenko and M. Dixon, which comes out
this Spring at the CRC (Taylor and Francis) publishing house.
The collaboration with M. Dixon and L. Kurdachenko turned out
to be very productive. Thus, the following textbooks were published:
M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin, Ranks of Groups: The
Tools, Characteristics, and Restrictions, John Wiley & Sons, Hoboken,
New Jersey, 2017; M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin, An
Introduction to Essential Algebraic Structures, John Wiley & Sons, Hobo-
ken, New Jersey, 2014; M. R. Dixon, L. A. Kurdachenko, I. Ya. Subbotin,
Algebra and Number Theory: An Integrated Approach, John Wiley & Sons,
Hoboken, New Jersey, 2010.
Recently I. Subbotin’s research interests turned to infinite dimensional
Leibniz Algebras. The main goal is to build a theory which is parallel to
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F Igor Ya. Subbotin
the theory of infinite groups. New results in this area were published in a
few journal articles and surveys.
Together with his collaborators, N. N. Bilotskii, L. A. Kurdachenko,
S. S. Levishenko, M. S. Yakir, M. Hill, H. Badkobehi, F. Mossavar-Rahmani,
P. P. Baryshovets, P. Serdyukov, N. Serdyukova, C. Griener and others,
I. Subbotin actively participated in the development of Iterative Instruc-
tional Model, studied applications of Fuzzy Logic to assessment process,
conducted researches on theoretical basis of some important topics of high
school and college mathematics. Interest to Fuzzy Logic led I. Ya. Sub-
botin into the theory of fuzzy groups and fuzzy rings. Together with
L. A. Kurdachenko and others he implemented some new approaches in
the theory of fuzzy groups. His results on fuzzy groups were published
in two works written jointly with L. A. Kurdachenko and V. S. Yaschuk,
where the theory of fuzzy groups and fuzzy rings was “translated” from a
functional language into the language of ordinary algebraic structures.
I. Subbotin’s research in algebra was supported by many international
grants, including 2010-2013 Grant supported by Dirección General de Inves-
tigación of MICINN (Spain), the Department of Science and Technology of
the Government of Aragón (Spain), FEDER funds from European Union,
and 1996 Volkswagenstiftung research grant. He received the National
University Distinguished Researcher Awards four times.
Of course, all that is a very short and general description of I. Subbotin’s
research achievements, and we were not able to mention many of his
important results in this brief article.
I. Ya. Subbotin is one of the first instructors who began teaching
mathematics on-line. He successfully developed and taught some general
mathematics courses via newly developed Precision Learning format.
In 2013 he was awarded the National University Distinguished Teaching
Award.
I. Ya. Subbotin is a very energetic and enthusiastic mathematician
and mathematics educator with more achievements to come.
He is a caring and loving husband, father and grandfather.
We warmly congratulate him on his 70th birthday and wish him good
health and many successful years of research and teaching.
O. D. Artemovich, A. Ballester-Bolinches, V. A. Bovdi,
M. R. Dixon, F. de Giovanni, R. I. Grigorchuk, L. A. Kurdachenko,
F. N. Liman, P. Longobardi, M. Maj, V. S. Monahov, J. Otal,
A. P. Petravchuk, A. A. Pypka, A. Russo, N. N. Semko,
A. N. Skiba, G. Vincenzi, E. I. Zelmanov,
A. V. Zhuchok, Yu. V. Zhuchok
Igor Ya. Subbotin (dedicated to 70th Birthday)
|
| id | nasplib_isofts_kiev_ua-123456789-188510 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:13:38Z |
| publishDate | 2020 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 2023-03-03T19:23:35Z 2023-03-03T19:23:35Z 2020 Igor Ya. Subbotin (dedicated to 70th Birthday) // Algebra and Discrete Mathematics. — 2020. — Vol. 29, № 2. — С. C–F. — англ. 1726-3255 DOI:10.12958/adm1661 https://nasplib.isofts.kiev.ua/handle/123456789/188510 On March 25, 2020, Professor Igor Ya. Subbotin turned 70. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Igor Ya. Subbotin (dedicated to 70th Birthday) Article published earlier |
| spellingShingle | Igor Ya. Subbotin (dedicated to 70th Birthday) |
| title | Igor Ya. Subbotin (dedicated to 70th Birthday) |
| title_full | Igor Ya. Subbotin (dedicated to 70th Birthday) |
| title_fullStr | Igor Ya. Subbotin (dedicated to 70th Birthday) |
| title_full_unstemmed | Igor Ya. Subbotin (dedicated to 70th Birthday) |
| title_short | Igor Ya. Subbotin (dedicated to 70th Birthday) |
| title_sort | igor ya. subbotin (dedicated to 70th birthday) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188510 |