Results 31 to 40 of about 1,639,976 (168)

A note on finite groups with the indice of some maximal subgroups being primes [PDF]

International Journal of Group Theory, 2017
‎The Theorem 12 in [A note on‎ ‎$p$-nilpotence and solvability of finite groups‎, ‎J‎. ‎Algebra 321‎ ‎(2009) 1555--1560.] investigated the non-abelian simple groups in‎ ‎which some maximal subgroups have primes indices‎. ‎In this note we‎ ‎show that this
Cui Zhang
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Simple stable homogeneous groups [PDF]

Journal of Symbolic Logic, 2003
AbstractWe generalize tools and results from first order stable theories to groups inside a simple stable strongly homogeneous model.
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OD-characterization of alternating groups Ap+d

Open Mathematics, 2017
Let An be an alternating group of degree n. Some authors have proved that A10, A147 and A189 cannot be OD-characterizable. On the other hand, others have shown that A16, A23+4, and A23+5 are OD-characterizable.
Yang Yong, Liu Shitian, Zhang Zhanghua
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Characterization of A5 and PSL(2,7) by sum of elements orders [PDF]

International Journal of Group Theory, 2013
Let $G$ be a finite group. We denote $psi(G)=sum_{gin G}o(g)$ where $o(g)$ denotes the order of $g in G$. Here we show that $psi(A_5)< psi(G)$ for every nonsimple group $G$ of order 60. Also we prove that $psi(PSL(2,7))groups $G$ of order 168.
Seyyed Majid Jafarian Amiri
doaj  

Renormalization group and effective potential: a simple non-perturbative approach

SciPost Physics Core, 2022
We develop a simple non-perturbative approach to the calculation of a field theory effective potential that is based on the Wilson or exact renormalization group. Our approach follows Shepard et al's idea [Phys. Rev.
Jose Gaite
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On Simple K4-Groups

Journal of Algebra, 2001
A finite simple group \(G\) is called simple \(K_n\)-group if the order of \(G\) has exactly \(n\) distinct prime factors. It is well known that the number of simple \(K_3\)-groups is eight [\textit{M. Herzog}, J. Algebra 10, 383-388 (1968; Zbl 0167.29101)].
Bugeaud, Yann, Cao, Zhenfu, Mignotte, Maurice   +2 more
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Permutation groups, simple groups, and sieve methods [PDF]

Israel Journal of Mathematics, 2005
Let \(I\) be the set of indices of non-trivial subgroups of finite non-abelian simple groups except that of the alternating group on \(n-1\) letters in the alternating group in \(n\) letters. In the paper under review for any real number \(x>1\) it is shown that the number of integers \(n\) in \(I\) not exceeding \(x\) is ~\(hx/\log(x)\) for some given
Heath-Brown, D, Praeger, C, Shalev, A
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Classifying cubic symmetric graphs of order 88p and 88p 2

Open Mathematics
For a simple graph Γ\Gamma , Γ\Gamma is said to be ss-regular, provided that the automorphism group of Γ\Gamma regularly acts on the set consisting of ss-arcs of Γ\Gamma .
Zhai Liangliang
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Chermak–Delgado simple groups [PDF]

Communications in Algebra, 2016
This paper provides the first steps in classifying the finite solvable groups having Property A, which is a property involving abelian normal subgroups. We see that this classification is reduced to classifying the solvable Chermak-Delgado simple groups, which the author defines.
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Finite simple groups as expanders [PDF]

Proceedings of the National Academy of Sciences, 2006
We prove that there exist k ∈ ℕ and 0 < ε ∈ ℝ such that every non-abelian finite simple group G , which is not a Suzuki group, has a set of k generators for which the Cayley graph Cay( G ; S ) is an ε-expander.
Kassabov, M, Lubotzky, A, Nikolov, N
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