Results 21 to 30 of about 222 (165)
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
doaj +1 more source
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
doaj +1 more source
GROUPS WITH ABELIAN SYLOW SUBGROUPS [PDF]
Journal of the Australian Mathematical Society, 2009 AbstractFinite groups with abelian Sylow p-subgroups for certain primes p are characterized in terms of arithmetical properties of commutators.
openaire +2 more sources
Centers of Sylow subgroups and automorphisms [PDF]
Israel Journal of Mathematics, 2020 Suppose that p is an odd prime and G is a finite group having no normal non-trivial p'-subgroup. We show that if a is an automorphism of G of p-power order centralizing a Sylow p-group of G, then a is inner. This answers a conjecture of Gross. An easy corollary is that if p is an odd prime and P is a Sylow p-subgroup of G, then the center of P is ...
Glauberman, George +3 more
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj
Characters Induced from Sylow Subgroups
Journal of Algebra, 1998 Let \(G\) be a finite group and let \(p\) be a prime dividing \(| G|\). The paper deals with the question: What can be said about the structure of \(G\) if there exists a \(\chi\in\text{Irr}(G)\) which is induced from a Sylow-\(p\)-subgroup of \(G\) or equivalently, for which \(| G|/\chi(1)\) is a power of \(p\).
Riese, Udo, Schmid, Peter
openaire +2 more sources
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
doaj +1 more source
The Intersection of Sylow Subgroups [PDF]
Proceedings of the American Mathematical Society, 1975 Let G G be a finite soluble group. If the order of G G is not divisible by any Fermat or Mersenne primes, then there exist Sylow 2 2 -subgroups, P P and Q Q , such that P ∩ Q = O p
openaire +2 more sources