Zobrazeno 1 - 10 of 29 pro vyhledávání: '"L. A. Shemetkov"'
1
Supplements to Normal Subgroups of Finite Groups
Autor: L. A. Shemetkov
Publikováno v: Algebra and Logic. 52:79-86
At the Kiev algebra seminar held in 1970, S. N. Chernikov came up with a proposal for a more thorough study of the influence of minimal supplements on properties of normal subgroups. The present paper deals with just this issue.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b8287e37e51ad2bcb3f8d06cb289b089
https://doi.org/10.1007/s10469-013-9222-0
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4
An $ \mathfrak{X} $ -crown of a finite soluble group
Autor: S. F. Kamornikov, L. A. Shemetkov
Publikováno v: Algebra and Logic. 49:400-415
Let G be a finite soluble group and $ {\Phi_\mathfrak{X}}(G) $ an intersection of all those maximal subgroups M of G for which $ {{G} \left/ {{{\text{Cor}}{{\text{e}}_G}(M)}} \right.} \in \mathfrak{X} $ . We look at properties of a section $ F\left(
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9a29d2ce597a7da18922495633f5f94a
https://doi.org/10.1007/s10469-010-9105-6
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5
On the normalizer of a Gaschütz system of a finite soluble group
Autor: S. F. Kamornikov, L. A. Shemetkov
Publikováno v: Journal of Mathematical Sciences. 166:655-660
The notion of a Gaschutz system of a finite soluble group was introduced by S. F. Kamornikov in 2008 (this is a set of complements of crowns of pairwise nonisomorphic non-Frattini factors of a chief series of the group). In the present paper, propert
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3658f861a5c0d01814ac8da9d1feb437
https://doi.org/10.1007/s10958-010-9880-6
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6
The formation of finite groups with a supersolvable π-hall subgroup
Autor: Xiaolan Yi, L. A. Shemetkov
Publikováno v: Mathematical Notes. 87:258-263
Let G be a finite group having a π-subgroup H such that |G: H| is not divisible by the numbers in π. In this case, the subgroup H is referred to as a π-Hall subgroup, and the group G by itself is referred to as a Eπ-group. If, moreover, the group
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::517bf7f31303a73f688b3e9bcda37b8c
https://doi.org/10.1134/s0001434610010323
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7
Factorizable Groups and Formations
Autor: Kh. A. Al-Sharo, L. A. Shemetkov, E. A. Molokova
Publikováno v: Acta Applicandae Mathematicae. 85:3-10
We give two characterizations of saturated formations of finite groups in terms of complemented and supplemented subgroups.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::55201fb6c8ed385749d422e910840a01
https://doi.org/10.1007/s10440-004-5579-3
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9
[Untitled]
Autor: L. A. Shemetkov
Publikováno v: Siberian Mathematical Journal. 44:184-189
We study direct decompositions of an FG-module, where F is a field of prime characteristic p and G is a p-supersoluble finite group.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::663a3f4360bdacda97b12dc8378efb92
https://doi.org/10.1023/a:1022037009469
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10
[Untitled]
Autor: L. A. Shemetkov, K. A. Al-Sharo
Publikováno v: Ukrainian Mathematical Journal. 54:915-923
Sergei Nikolaevich Chernikov made an outstanding contribution to the investigation of groups with restrictions imposed on subgroups and, in particular, groups with various normality conditions for subgroups. In the present work, we continue investiga
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::d1234f393c2a6fe6322627ef56a1433c
https://doi.org/10.1023/a:1021704018283
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