Results 21 to 30 of about 10,924,025 (294)

On a conjecture on simple groups [PDF]

Proceedings of the American Mathematical Society, 1950
The purpose of this paper is to rephrase a conjecture about simple groups into the language of linear algebra. Let G be a group of finite order o(G). Then by rF we shall mean the group ring of G over a field of characteristic p (for instance the integers modulo p). We shall denote the radical of rF by N,. If p = 0 or p o(G), then it is known that Np=(O)
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Simple polyadic groups

Siberian Mathematical Journal, 2014
The main aim of this article is to establish a classification of simple polyadic groups in terms of ordinary groups and their automorphisms. We give two different definitions of simpleness for polyadic groups, from the point of views of universal algebra, UAS (universal algebraically simpleness), and group theory, GTS (group theoretically simpleness ...
Khodabandeh, H., Shahryari, M.
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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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SIMPLE GROUPS STABILIZING POLYNOMIALS

Forum of Mathematics, Pi, 2015
We study the problem of determining, for a polynomial function $f$ on a vector space $V$, the linear transformations $g$ of $V$ such that $f\circ g=f$. When $f$ is invariant under a simple algebraic group $G$ acting irreducibly on $V$, we note that the ...
SKIP GARIBALDI, ROBERT M. GURALNICK
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New upper bounds on the spreads of the sporadic simple groups [PDF]

, 2012
We give improved upper bounds on the exact spreads of many of the larger sporadic simple groups, in some cases improving on the best known upper bound by several orders of ...
Fairbairn, Ben
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Kimmerle conjecture for the Held and O'Nan sporadic simple groups [PDF]

, 2009
Using the Luthar--Passi method, we investigate the Zassenhaus and Kimmerle conjectures for normalized unit groups of integral group rings of the Held and O'Nan sporadic simple groups.
Bódi, Viktor, Grishkov, A. N., Konovalov, A. B.   +2 more
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Cohomology of simple modules for algebraic groups

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
In this paper, we consider questions related to the study of the cohomology of simple and simply connected algebraic groups with coefficients in simple modules. There are various calculating methods for them. One of the effective methods is to study the
Sh.Sh. Ibraev, L.S. Kainbaeva, S.K. Menlikhozhayeva   +2 more
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ON THE PRIME GRAPH OF SIMPLE GROUPS [PDF]

Bulletin of the Australian Mathematical Society, 2014
AbstractLet $G$ be a finite group, let ${\it\pi}(G)$ be the set of prime divisors of $|G|$ and let ${\rm\Gamma}(G)$ be the prime graph of $G$. This graph has vertex set ${\it\pi}(G)$, and two vertices $r$ and $s$ are adjacent if and only if $G$ contains an element of order $rs$.
Burness, Tim C, Covato, Elisa
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Some properties of finite generalized-groups [PDF]

Journal of Mahani Mathematical Research
In this article, we discuss  the concept of completely simple-semigroups, which serves as a natural extension of the group structures. These semigroups, also known as generalized-groups, provide an interesting generalization beyond the realm of the ...
Nosratollah Shajareh Poursalavati
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Conjugate factorizations of finite groups [PDF]

International Journal of Group Theory, 2015
In this paper we illustrate recent results about factorizations of finite groups into conjugate subgroups. The illustrated results are joint works with John Cannon, Dan Levy, Attila Mar'oti and Iulian I. Simion.
Martino Garonzi
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