Results 21 to 30 of about 250 (183)
Structure of finite groups with some weakly $S$-semipermutable subgroups [PDF]
Journal of Mahani Mathematical Research, 2023 Let $ G $ be a finite group. If $ A\leq G $, recall that $ A $ is weakly $S$-semipermutable in $G$ provided there is $K\unlhd G$ such that $KA$ is $S$-permutable in $G$, and $K\cap A$ is $S$-semipermutable in $G$.
Hassan Jafarian Dehkordi +2 more
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On the permutability of Sylow subgroups with derived subgroups of B-subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2019 A finite non-nilpotent group G is called a B-group if every proper subgroup of the quotient group G/Φ(G) is nilpotent. We establish the r-solvability of the group in which some Sylow r-subgroup permutes with the derived subgroups of 2-nilpotent (or 2 ...
Ekaterina V. Zubei
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Permutation codes over Sylow 2-subgroups $Syl_2(S_{2^n})$ of symmetric groups $S_{2^n}$
Researches in Mathematics, 2021 The permutation code (or the code) is well known object of research starting from 1970s. The code and its properties is used in different algorithmic domains such as error-correction, computer search, etc.
V.A. Olshevska
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n-capability of A-groups [PDF]
Mathematics Interdisciplinary Research, 2020 Following P. Hall a soluble group whose Sylow subgroups are all abelian is called A-group. The purpose of this article is to give a new and shorter proof for a criterion on the capability of A-groups of order p2q, where p and q are distinct primes ...
Marzieh Chakaneh +2 more
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Finite groups whose maximal subgroups of even order are MSN-groups
Open Mathematics, 2022 A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. In this article, we investigate the structure of finite groups GG such that GG is a non-MSN-group of even order in which every maximal ...
Wang Wanlin, Guo Pengfei
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Rigid automorphisms of linking systems
Forum of Mathematics, Sigma, 2021 A rigid automorphism of a linking system is an automorphism that restricts to the identity on the Sylow subgroup. A rigid inner automorphism is conjugation by an element in the center of the Sylow subgroup.
George Glauberman, Justin Lynd
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A new approach to character-free proof for Frobenius theorem [PDF]
AUT Journal of Mathematics and Computing, 2023 Let G be a Frobenius group. Using character theory, it is proved that the Frobenius kernel of G is a normal subgroup of G, which is well-known as a Frobenius theorem. There is no known character-free proof for Frobenius theorem. In this note, we prove it,
Seyedeh Fatemeh Arfaeezarandi +1 more
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Groups with a Cyclic Sylow Subgroup [PDF]
Nagoya Mathematical Journal, 1966 By focussing attention on indecomposable modular representations J. G. Thompson [11] has recently simplified and generalized some classical results of R. Brauer [1] concerning groups which have a Sylow group of prime order. In this paper this approach will be used to prove some results which generalize theorems of R. Brauer [2] and H. F. Tuan [12].
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On c-Embedded Subgroups of Finite Groups [PDF]
Advances in Group Theory and Applications, 2023 Let G be a group and H ≤ K ≤ G. We say that H is c-embedded in G with respect to K if there is a subgroup B of G such that G = HB and H ∩ B ≤ Z(K). Given a finite group G, a prime number p and a Sylow p-subgroup P of G, we investigate the structure of G ...
Julian Kaspczyk
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On CSQ-normal subgroups of finite groups
Open Mathematics, 2016 We introduce a new subgroup embedding property of finite groups called CSQ-normality of subgroups. Using this subgroup property, we determine the structure of finite groups with some CSQ-normal subgroups of Sylow subgroups.
Xu Yong, Li Xianhua
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