Results 81 to 90 of about 266 (183)
Fixed‐point posets of groups and Euler characteristics
Bulletin of the London Mathematical Society, Volume 58, Issue 3, March 2026.Abstract Suppose that G$G$ is a group and Ω$\Omega$ is a G$G$‐set. For X$\mathcal {X}$ a set of subgroups of G$G$, we introduce the fixed‐point poset XΩ$\mathcal {X}_{\Omega }$. A variety of results concerning XΩ$\mathcal {X}_{\Omega }$ are proved as, for example, in the case when p$p$ is a prime and X$\mathcal {X}$ is a non‐empty set of finite non ...
Peter Rowley
wiley +1 more source
Finite non-solvable groups with few sum of numbers of Sylow subgroups [PDF]
European Journal of Mathematics and ApplicationsLet $G$ be a finite group and $n_p(G)$ be the number of Sylow $p$-subgroups of $G$. Let $S(G)=\{p\in \pi(G) \colon n_p(G)>1 \}$ and define $\delta_0(G)=\sum_{p \in S(G)}n_p(G)$. Denote by $Sol(G)$ the solvable radical.
Tingting Li
doaj +1 more source
On recognition of simple group L2(r) by the number of Sylow subgroups
Acta Scientiarum: Technology, 2014 Let G be a finite group and n_{p}(G) be the number of Sylow p- subgroup of G. In this work it is proved if G is a centerless group and n_{p}(G)=n_{p}(L_{2}(r)), for every prime p in pi (G), where r is prime number, r^2 does not divide |G| and r is not ...
Alireza Khalili Asboei +1 more
doaj +1 more source
On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$
Известия Иркутского государственного университета: Серия "Математика", 2017 A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
doaj +1 more source
Application of t-intuitionistic fuzzy subgroup to Sylow theory. [PDF]
Heliyon, 2023 Latif L, Shuaib U.
europepmc +1 more source
GRUPOS DE PERMUTAÇÕES E GRUPOS FINITOS SIMPLES
Colloquium Exactarum, 2011 The normality of subgroups in a finite group has a property discovered by E. Galois in 1832, study-group of permutations of roots of polynomial equations.
Lauro Maycon Fernandes Ferreira +2 more
doaj +1 more source
Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
europepmc +1 more source
On second maximal subgroups of Sylow subgroups of finite groups
Journal 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
On F^ω-projectors and F^ω-covering subgroups of finite groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаOnly 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
Finite groups with certain subgroups of Sylow subgroups complemented
Journal 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