On a question of A. N. Skiba about totally saturated formations
It is proved that the lattice of \(\tau\)-closed totally saturated formations of finite groups is distributive. This is a solution of Question 4.2.15 proposed by A. N. Skiba in his monograph "Algebra of Formations" (1997).
Saved in:
| Date: | 2018 |
|---|---|
| Main Author: | Safonov, Vasily G. |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
|
| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/821 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete MathematicsSimilar Items
On \(\tau\)-closed \(n\)-multiply \(\omega\)-composition formations with Boolean sublattices
by: Zhiznevsky, Pavel
Published: (2018)
by: Zhiznevsky, Pavel
Published: (2018)
On Stone sublattices of the lattice of totally local Fitting classes
by: Skiba, Alexander N., et al.
Published: (2018)
by: Skiba, Alexander N., et al.
Published: (2018)
An application of the concept of a generalized central element
by: Al-Sharo, Kh. A., et al.
Published: (2018)
by: Al-Sharo, Kh. A., et al.
Published: (2018)
On factorizations of limited solubly \(\omega\)-saturated formations
by: Selkin, Vadim M.
Published: (2018)
by: Selkin, Vadim M.
Published: (2018)
Finite groups with a system of generalized central elements
by: Shemetkova, Olga
Published: (2018)
by: Shemetkova, Olga
Published: (2018)
On finite groups with \(K\)-\(\frak{N}_{\sigma}\)-subnormal Schmidt subgroups
by: Hussain, Muhammad Tanveer
Published: (2024)
by: Hussain, Muhammad Tanveer
Published: (2024)
On subgroups which cover or avoid chief factors of a finite group
by: Ballester-Bolinches, A., et al.
Published: (2018)
by: Ballester-Bolinches, A., et al.
Published: (2018)
On the \(\cal F\) -hypercentre of a finite group
by: Skiba, Alexander N.
Published: (2018)
by: Skiba, Alexander N.
Published: (2018)
STRUCTURAL-PETROLOGICAL TYPES OF GRANITOID FORMATIONS OF THE UKRAINIAN SHIELD: GENERAL INFORMATION AND AUTOCHTHONOUS FORMATIONS
by: Кирилюк , В.П., et al.
Published: (2025)
by: Кирилюк , В.П., et al.
Published: (2025)
On Baer-Shemetkov’s decomposition in modules and related topics
by: Kirichenko, V. V., et al.
Published: (2018)
by: Kirichenko, V. V., et al.
Published: (2018)
A survey on pairwise mutually permutable products of finite groups
by: Ballester-Bolinches, A., et al.
Published: (2018)
by: Ballester-Bolinches, A., et al.
Published: (2018)
\(\mathbf{S}\)-Embedded subgroups in finite groups
by: Ballester-Bolinches, A., et al.
Published: (2018)
by: Ballester-Bolinches, A., et al.
Published: (2018)
On derived \(\pi\)-length of a finite \(\pi\)-solvable group with supersolvable \(\pi\)-Hall subgroup
by: Monakhov, V. S., et al.
Published: (2018)
by: Monakhov, V. S., et al.
Published: (2018)
STRATIGRAPHY AND CHALKY STRATA MOLLUSKS OF THE PENINSKA ZONE IN UKRAINIAN CARPATHIANS
by: Khevpa, Z.Z.
Published: (2017)
by: Khevpa, Z.Z.
Published: (2017)
On a question of A. N. Skiba about totally saturated formations
by: Safonov, V.G.
Published: (2008)
by: Safonov, V.G.
Published: (2008)
A new characterization of alternating groups
by: Asboei, Alireza Khalili, et al.
Published: (2018)
by: Asboei, Alireza Khalili, et al.
Published: (2018)
On \(S\)-quasinormally embedded subgroups of finite groups
by: Al-Sharo, Kh. A., et al.
Published: (2018)
by: Al-Sharo, Kh. A., et al.
Published: (2018)
ACHIEVEMENTS AND PERSPECTIVES FOR THE DEVELOPMENT OF COAL FIELDS GEOLOGY. THE COAL GENESIS IS REMAINING THE SECRET
by: Yevdoschuk, M.I.
Published: (2018)
by: Yevdoschuk, M.I.
Published: (2018)
HIGH-CHLORINE COAL AS A DEFERRED DEMAND PRODUCT
by: Ivanova, A.V.
Published: (2020)
by: Ivanova, A.V.
Published: (2020)
Linear groups saturated by subgroups of finite central dimension
by: Semko, N. N., et al.
Published: (2020)
by: Semko, N. N., et al.
Published: (2020)
GEOLOGICAL IMPORTANCE OF THE V. I. VERNADSKY'S LAW ABOUT THE CONSTANT BIOMASS CONTENT IN THE BIOSPHERE OF THE EARTH
by: KIRILYUK, V.P.
Published: (2013)
by: KIRILYUK, V.P.
Published: (2013)
ISOTOPE-GEOCHEMICAL AND GEOLOGICAL-GENETIC CRITERIA FOR SEARCH OF URAN AND GOLD DEPOSITS OF THE INGUL MEGABLOCK OF THE UKRAINIAN SHIELD
by: Fomin, Yu.A.
Published: (2018)
by: Fomin, Yu.A.
Published: (2018)
On Sushchansky \(p\)-groups
by: Bondarenko, Ievgen V., et al.
Published: (2018)
by: Bondarenko, Ievgen V., et al.
Published: (2018)
A new characterization of finite \(\sigma\)-soluble \(P\sigma T\)-groups
by: Adarchenko, N. M.
Published: (2020)
by: Adarchenko, N. M.
Published: (2020)
Orbit isomorphic skeleton groups
by: Saha, S.
Published: (2023)
by: Saha, S.
Published: (2023)
On subgroups of finite exponent in groups
by: Artemovych, Orest D.
Published: (2018)
by: Artemovych, Orest D.
Published: (2018)
On subgroups of saturated or totally bounded paratopological groups
by: Banakh, Taras, et al.
Published: (2018)
by: Banakh, Taras, et al.
Published: (2018)
MINERAL WATERS OF THE SOUTHERN REGION OF UKRAINE
by: Shestopalov, V.M., et al.
Published: (2019)
by: Shestopalov, V.M., et al.
Published: (2019)
REGIONS OF EXISTENCE OF THE CLASS II METHANOL MASERS. STATISTICAL FEATURES OF EMISSION IN CS (J = 2 - 1) LINE
by: Patoka, O. M., et al.
Published: (2017)
by: Patoka, O. M., et al.
Published: (2017)
THE BASIC LAWS OF DISTRIBUTION OF CHEMICAL ELEMENTS IN THE RAPAKIVI GRANITOIDS OF THE UKRAINIAN AND BALTIC SHIELDS AND GEODYNAMIC CONDITIONS OF THEIR FORMATIОN
by: TOLSTOY, M. I., et al.
Published: (2011)
by: TOLSTOY, M. I., et al.
Published: (2011)
PALEOCENE NANNOFOSSILS OF THE SOUTHERN SLOPE OF THE UKRAINIAN CARPATHIANS (VEZHANY NAPPE, LOWER METOVA SUBFORMATION)
by: Suprun, I.S.
Published: (2018)
by: Suprun, I.S.
Published: (2018)
Reducing the toxicity level of wood burning products during evacuation of people
by: Tsapko, Yuriy, et al.
Published: (2025)
by: Tsapko, Yuriy, et al.
Published: (2025)
A survey article on some subgroup embeddings and local properties for soluble PST-groups
by: Beidleman, James C.
Published: (2017)
by: Beidleman, James C.
Published: (2017)
A virtually 2-step nilpotent group with polynomial geodesic growth
by: Bishop, A., et al.
Published: (2022)
by: Bishop, A., et al.
Published: (2022)
S. N. Chernikov and the development of infinite group theory
by: Dixon, M. R., et al.
Published: (2018)
by: Dixon, M. R., et al.
Published: (2018)
On the condensation property of the Lamplighter groups and groups of intermediate growth
by: Benli, Mustafa Gökhan, et al.
Published: (2018)
by: Benli, Mustafa Gökhan, et al.
Published: (2018)
Some properties of nilpotent groups
by: Gaglione, Anthony M., et al.
Published: (2018)
by: Gaglione, Anthony M., et al.
Published: (2018)
Groups with small cocentralizers
by: Otal, Javier, et al.
Published: (2018)
by: Otal, Javier, et al.
Published: (2018)
On nearly \({S\Phi}\)-normal subgroups of finite groups
by: Hussain, M. T., et al.
Published: (2024)
by: Hussain, M. T., et al.
Published: (2024)
About degassing of the Earth
by: Gordienko, V. V.
Published: (2019)
by: Gordienko, V. V.
Published: (2019)
Similar Items
-
On \(\tau\)-closed \(n\)-multiply \(\omega\)-composition formations with Boolean sublattices
by: Zhiznevsky, Pavel
Published: (2018) -
On Stone sublattices of the lattice of totally local Fitting classes
by: Skiba, Alexander N., et al.
Published: (2018) -
An application of the concept of a generalized central element
by: Al-Sharo, Kh. A., et al.
Published: (2018) -
On factorizations of limited solubly \(\omega\)-saturated formations
by: Selkin, Vadim M.
Published: (2018) -
Finite groups with a system of generalized central elements
by: Shemetkova, Olga
Published: (2018)