Results 81 to 90 of about 280 (183)

A Characterization of the Small Suzuki Groups by the Number of the Same Element Order [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2015
Suppose that  is a finite group. Then the set of all prime divisors of  is denoted by  and the set of element orders of  is denoted by . Suppose that . Then the number of elements of order  in  is denoted by  and the sizes of the set of elements with the
H. Parvizi Mosaed   +2 more
doaj  

Strongly Base-Two Groups. [PDF]

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

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

On recognition of simple group L2(r) by the number of Sylow subgroups

open access: yesActa 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

Some Remarks on Anchor of Irreducible Characters [PDF]

open access: yesAdvances in Group Theory and Applications
In this paper, we show that the direct product of the anchors of two irreducible characters is the anchor of the tensor product of their irreducible characters. We prove that the anchor of any irreducible character of a p-group G is G itself.
Manal H. Algreagri, Ahmad M. Alghamdi
doaj   +1 more source

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

On Regularity of Sylow $p$\,-Subgroups of the Chevalley Group of Types $F_4,E_6$ Over the Ring $\mathbb{Z}_{p^m}$

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
In this paper, we find necessary and sufficient conditions for the regularity of the Sylow $p$\,-subgroup $P$ of the Chevalley group of types $F_4$ or $E_6$ defined over the ring of integers modulo $p^m$ when $p$ is a prime different from $37,41,43,47$.
S. G. Kolesnikov, A. I. Polovinkina
doaj   +1 more source

On diameters estimations of the commuting graphs of Sylow $p$-subgroups of the symmetric groups

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
The commuting graph of a group $G$ is an undirected graph whose vertices are non-central elements of $G$ and two distinct vertices $x,y$ are adjacent if and only if $xy=yx$.
Yu.Yu. Leshchenko, L.V. Zoria
doaj   +1 more source

NOX2 deficiency exacerbates diet-induced obesity and impairs molecular training adaptations in skeletal muscle. [PDF]

open access: yesRedox Biol, 2023
Henriquez-Olguin C   +9 more
europepmc   +1 more source

Sylow subgroups, exponents, and character values

open access: yesTransactions of the American Mathematical Society, 2019
If G G is a finite group, p
Navarro, Gabriel, Tiep, Pham Huu
openaire   +2 more sources

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