Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups

Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups

Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible t...

Повний опис

Збережено в:
Бібліографічні деталі
Дата:2009
Автори: Slupik, A.J., Sushchansky, V.I.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2009
Назва видання:Algebra and Discrete Mathematics
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/154503
Теги: Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ.

Репозитарії

Digital Library of Periodicals of National Academy of Sciences of Ukraine
id irk-123456789-154503
record_format dspace
spelling irk-123456789-1545032019-06-16T01:31:18Z Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups Slupik, A.J. Sushchansky, V.I. Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible type. The isomorphism problem of Cayley graphs of Pn with respect to their minimal generating sets is discussed. 2009 Article Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ. 1726-3255 2000 Mathematics Subject Classification:20B35, 05C25, 05C12, 20F65. http://dspace.nbuv.gov.ua/handle/123456789/154503 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Minimal generating sets of a Sylow p-subgroup Pn of the symmetric group Spn are characterized. The number of ordered minimal generating sets of Pn is calculated. The notion of the type of a generating set of Pn is introduced and it is proved that Pn contains minimal generating sets of all possible type. The isomorphism problem of Cayley graphs of Pn with respect to their minimal generating sets is discussed.
format Article
author Slupik, A.J.
Sushchansky, V.I.
spellingShingle Slupik, A.J.
Sushchansky, V.I.
Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
Algebra and Discrete Mathematics
author_facet Slupik, A.J.
Sushchansky, V.I.
author_sort Slupik, A.J.
title Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
title_short Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
title_full Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
title_fullStr Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
title_full_unstemmed Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups
title_sort minimal generating sets and cayley graphs of sylow p-subgroups of finite symmetric groups
publisher Інститут прикладної математики і механіки НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/154503
citation_txt Minimal generating sets and Cayley graphs of Sylow p-subgroups of finite symmetric groups / A.J. Slupik, V.I. Sushchansky // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 167–184. — Бібліогр.: 11 назв. — англ.
series Algebra and Discrete Mathematics
work_keys_str_mv AT slupikaj minimalgeneratingsetsandcayleygraphsofsylowpsubgroupsoffinitesymmetricgroups
AT sushchanskyvi minimalgeneratingsetsandcayleygraphsofsylowpsubgroupsoffinitesymmetricgroups
first_indexed 2023-05-20T17:44:38Z
last_indexed 2023-05-20T17:44:38Z
_version_ 1796153987264675840

Схожі ресурси