Results 21 to 30 of about 1,511,588 (309)

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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The probability of generating a finite simple group [PDF]

, 2013
We study the probability of generating a finite simple group, together with its generalisation PG,socG(d), the conditional probability of generating an almost simple finite group G by d elements, given that these elements generate G/ socG.
Colva M. Roney-Dougal, Martyn Quick, Quick, Martyn, Nina E. Menezes, Roney-Dougal, Colva Mary, Menezes, Nina Emma   +5 more
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On localizations of quasi-simple groups with given countable center [PDF]

, 2020
A group homomorphism i:H→G is a localization of H, if for every homomorphism φ:H→G there exists a unique endomorphism ψ:G→G such that iψ=φ (maps are acting on the right). Göbel and Trlifaj asked in [18, Problem 30.4(4), p.
Flores Díaz, Ramón Jesús, Rodríguez, José Luis   +1 more
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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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Infinite groups with fixed point properties [PDF]

, 2007
We construct finitely generated groups with strong fixed point properties. Let Xac be the class of Hausdorff spaces of finite covering dimension which are mod–p acyclic for at least one prime p.
G. Arzhantseva, T. Januszkiewicz, Arzhantseva, Goulnara, I. J. Leary, Minasyan, Ashot, A. Minasyan, Bridson, MR, Januszkiewicz, T, J. Świa̧tkowski, Bridson, Martin R., Leary, IJ, Swiatkowski, J, Bridson, Martin Robert, Ian J Leary, Martin R Bridson, ASHOT MINASYAN, JACEK ŚWIA̧TKOWSKI, et al., Januszkiewicz, Tadeusz, Leary, Ian J., Bridson, Martin, Arzhantseva, Goulnara N., Minasyan, A, Swiatkowski, Jacek, Arzhantseva, G, M. R. Bridson   +23 more
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ON THE GENERATING GRAPH OF A SIMPLE GROUP [PDF]

Journal of the Australian Mathematical Society, 2016
The generating graph $\unicode[STIX]{x1D6E4}(H)$ of a finite group $H$ is the graph defined on the elements of $H$, with an edge between two vertices if and only if they generate $H$. We show that if $H$ is a sufficiently large simple group with $\unicode[STIX]{x1D6E4}(G)\cong \unicode[STIX]{x1D6E4}(H)$ for a finite group $G$, then $G\cong H$.
LUCCHINI, ANDREA, Marã3ti, Attila, Roney dougal, Colva M.   +2 more
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Prime order derangements in primitive permutation groups [PDF]

, 2011
Let G be a transitive permutation group on a finite set Ω of size at least 2. An element of G is a derangement if it has no fixed points on Ω. Let r be a prime divisor of |Ω|.
Giudici, M., Giudici, Michael, Robert A. Wilson, Wilson, R.A., Wilson, Robert, Timothy C. Burness, Wilson, Robert A., Burness, Tim C, Burness, Timothy C., Burness, T.C., Michael Giudici   +10 more
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On Huppert's conjecture for F_4(2) [PDF]

International Journal of Group Theory, 2012
Let $G$ be a finite group and let $text{cd}(G)$ be the set of all complex irreducible character degrees of $G$. B. Huppert conjectured that if $H$ is a finite nonabelian simple group such that $text{cd}(G) =text{cd}(H)$, then $Gcong H times A$, where $A$
Hung P Tong-Viet, Thomas P Wakefield
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