Results 81 to 90 of about 250 (183)

On F^ω-projectors and F^ω-covering subgroups of finite groups [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
Only finite groups are considered. $\frak F$-projectors and $\frak F$-covering subgroups, where $\frak F$ is a certain class of groups, were introduced into consideration by W.~Gaschutz as a natural generalization of Sylow and Hall subgroups in finite ...
Sorokina, Marina M., Novikova, Diana G.
doaj   +1 more source

Strongly Base-Two Groups. [PDF]

open access: yesVietnam J Math, 2023
Burness TC, Guralnick RM.
europepmc   +1 more source

Characters Induced from Sylow Subgroups

open access: yesJournal 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

On second maximal subgroups of Sylow subgroups of finite groups

open access: yesJournal of Pure and Applied Algebra, 2011
Given a group \(G\), a subgroup \(K\) is called a second maximal subgroup if there exists a maximal subgroup \(M\) of \(G\) such that \(K\) is a maximal subgroup of \(M\). Several authors have studied the influence of the embedding of second maximal subgroups on the structure of a group.
Ballester-Bolinches, A.   +2 more
openaire   +2 more sources

Finite simple groups with some abelian Sylow subgroups

open access: yesKuwait Journal of Science, 2016
In this paper, we classify the finite simple groups with an abelian Sylow subgroup.
Rulin Shen, Yuanyang Zhou
doaj  

Finite groups with certain subgroups of Sylow subgroups complemented

open access: yesJournal of Algebra, 2010
Let \(\mathcal I\) be a saturated formation containing the class of supersoluble groups, \(G\) be a finite group with a normal subgroup \(E\) such that \(G/E\in\mathcal I\), and \(F^*(E)\) the generalised Fitting subgroup of \(E\). Theorem 1.3: If \(P\) is a Sylow subgroup of \(E\) and \(P\) has a proper subgroup \(D\) such that each subgroup \(H\) of \
openaire   +2 more sources

A Transfer Result for Powerful Sylow Subgroups

open access: yesJournal of Algebra, 1995
By \(P^n\) we denote the subgroup generated by all \(n\)-th powers of elements of \(P\). A \(p\)-group \(P\) is called powerful if either \(p\) is odd, and \(P^p\geq P'\), or \(p=2\), and \(P^4\geq P'\). A \(p\)-group \(P\) is called regular if for every \(x,y\in P\) we have \((xy)^p\equiv x^py^p\bmod (H')^p\), where \(H=\langle x,y\rangle\). Let \(G\)
openaire   +2 more sources

Cycle type in Hall–Paige: a proof of the Friedlander–Gordon–Tannenbaum conjecture

open access: yesForum of Mathematics, Sigma
An orthomorphism of a finite group G is a bijection $\phi \colon G\to G$ such that $g\mapsto g^{-1}\phi (g)$ is also a bijection. In 1981, Friedlander, Gordon, and Tannenbaum conjectured that when G is abelian, for any $k\geq 2 ...
Alp Müyesser
doaj   +1 more source

On redundant Sylow subgroups

open access: yesJournal of Algebra
7 pages, v4: minor corrections and ...
openaire   +3 more sources

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