Results 21 to 30 of about 1,639,976 (168)
The minimum sum of element orders of finite groups [PDF]
International Journal of Group Theory, 2021 Let $ G $ be a finite group and \( \psi(G)=\sum_{g\in G}o(g) \), where $ o(g) $ denotes the order of $g\in G$. We show that the Conjecture 4.6.5 posed in [Group Theory and Computation, (2018) 59-90], is incorrect.
Maghsoud Jahani +3 more
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Exponential and weakly exponential subgroups of finite groups [PDF]
International Journal of Group TheorySabatini [L. Sabatini, Products of subgroups, subnormality, and relative orders of elements, Ars Math. Contemp., 24 no. 1 (2024) 9 pp.] defined a subgroup $H$ of $G$ to be an exponential subgroup if $x^{|G:H|} \in H$ for all $x \in G$, in which case we ...
Eric Swartz, Nicholas J. Werner
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Finite Groups Isospectral to Simple Groups
Communications in Mathematics and Statistics, 2022 The spectrum of a finite group is the set of element orders of this group. The main goal of this paper is to survey results concerning recognition of finite simple groups by spectrum, in particular, to list all finite simple groups for which the recognition problem is solved.
Maria A. Grechkoseeva +4 more
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A lower bound on the number of finite simple groups
International Journal of Mathematics and Mathematical Sciences, 1980 Let S(n ...
Michael E. Mays
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Simple archimedean dimension groups [PDF]
Proceedings of the American Mathematical Society, 2013 We answer a question of Goodearl, by constructing for every metrizable Choquet simplex, a dimension group that is simple and archimedean and whose trace space is the desired Choquet simplex.
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SIMPLE GROUPS STABILIZING POLYNOMIALS [PDF]
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 subgroup of$\text{GL}(V)$stabilizing$f$often has identity component$G$, and we give applications realizing various
SKIP GARIBALDI, ROBERT M. GURALNICK
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Generalized $M^*$-simple groups
Rocky Mountain Journal of Mathematics, 2013 Let X be a compact bordered Klein surface of algebraic genus p >= 2, and let G = Gamma*/Lambda be a group of automorphisms of X where Gamma* is an NEC group and Lambda is a bordered surface group. If the order of G is 4q/(q - 2)(p- 1), for q >= 3 a prime number, then the signature of Gamma* is (0;+; [-]; {(2, 2, 2, q)}).
İkikardeş, Sebahattin, Şahin, Recep
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A New Characterization of Projective Special Linear Groups L3(p2)
MathematicsLet G be a finite group. The vertex set of the prime-power graph of G is defined as V(G)=pep(G)|p∈ρ(G), where ρ(G) is the set of all prime divisors of the degrees of all irreducible characters of G and pep(G)=maxψ(1)p∣ψ∈Irr(G).
Deluo Chen, Luyao Jiang, Yanxiong Yan
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Quasirecognition by prime graph of U_3(q) where 2 < q =p^{alpha} < 100 [PDF]
International Journal of Group Theory, 2012 Let G be a finite group and let Gamma(G) be the prime graphof G. Assume 2 < q = p^{alpha} < 100 . We determine finite groupsG such that Gamma(G) = Gamma(U_3(q)) and prove that if q neq3, 5, 9, 17, then U_3(q) is quasirecognizable by prime graph,i.e., if ...
Ali Iranmanesh +3 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 +2 more
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