Results 31 to 40 of about 266 (183)
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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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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The Sylow Subgroups of the Symmetric Group [PDF]
Transactions of the American Mathematical Society, 1904 In the Sylow theorems t we learn that if the order of a group 9 is divisible by pa (p a prime integer) and not by pa+l, then W contains one and only one set of conjugate subgroups of order pa , and any subgroup of W whose order is a power of p is a subgroup of some member of this set of conjugate subgroups of W.
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A note on transfer theorems [PDF]
International Journal of Group Theory, 2016 In this paper, we generalize some transfer theorems.~In particular, we derive one of the main results of Gagola(Contemp Math 524:49--60, 2010) from our results.
Haoran Yu
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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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Some Different Results on MS-Groups and MSN-Groups [PDF]
Advances in Group Theory and Applications, 2017 Let $P$ and $Q$ be different normal Sylow subgroups of the finite group $G$. If $G/P$ and $G/Q$ are soluble $PST$-groups (respectively $BT$-groups), then $G$ is also a soluble $PST$-group (respectively $BT$-group).
James C. Beidleman
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Publications de l'Institut Mathematique, 2003 We give a new approach to description of p-Sylow subgroup normalizes in the groups Sn (symmetric group on n letters).
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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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Characters, commutators and centers of Sylow subgroups
Representation Theory, 2023 The character table of a finite group G G determines whether
Navarro, Gabriel, Sambale, Benjamin
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Математичні СтудіїIn the paper, the properties of infinite locally finite groups with non-Dedekind locally nil\-potent norms of Abelian non-cyclic subgroups are studied. It is proved that such groups are finite extensions of a quasicyclic subgroup and contain Abelian non ...
T. D. Lukashova, M. G. Drushlyak
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