Results 61 to 70 of about 993,639 (182)
AI for ScienceIn this work we employ machine learning to understand structured mathematical data involving finite groups and derive a theorem about necessary properties of generators of finite simple groups.
Yang-Hui He +3 more
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Finite simple groups and localization [PDF]
Israel Journal of Mathematics, 2002 The purpose of this paper is to explore the concept of localization, which comes from homotopy theory, in the context of finite simple groups. We give an easy criterion for a finite simple group to be a localization of some simple subgroup and we apply it in various cases.
Rodríguez, José L. +2 more
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On Periodic Groups and Shunkov Groups that are Saturated by Dihedral Groups and $A_5$
Известия Иркутского государственного университета: Серия "Математика", 2017 A group is said to be periodic, if any of its elements is of finite order. A Shunkov group is a group in which any pair of conjugate elements generates Finite subgroup with preservation of this property when passing to factor groups by finite Subgroups ...
A. Shlepkin
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A Universal Homogeneous Simple Matroid of Rank $3$
, 2018 We construct a $\wedge$-homogeneous universal simple matroid of rank $3$, i.e. a countable simple rank~$3$ matroid $M_*$ which $\wedge$-embeds every finite simple rank $3$ matroid, and such that every isomorphism between finite $\wedge$-subgeometries of $
Paolini, Gianluca
core
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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On Finite Groups with an Irreducible Character Large Degree
Моделирование и анализ информационных систем, 2015 Let G be a finite nontrivial group with an irreducible complex character χ of degree d = χ(1). It is known from the orthogonality relation that the sum of the squares of degrees of irreducible characters of G is equal to the order of G. N.
L. S. Kazarin, S. S. Poiseeva
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Centralisers of finite groups in locally finite simple groups
Communications in Algebra, 2023 10 ...
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On K_0 of locally finte categories
, 2020 We calculate the Grothendieck group $K_0(\cal A)$, where $\cal A$ is an additive category, locally finite over a Dedekind ring and satisfying some additional conditions.
Drozd, Yuriy A.
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Commuting involutions in finite simple groups
European Journal of MathematicsAbstract We prove that if G is a finite simple group and $$x, y \in G$$ x , y ∈ G are involutions, then
Guralnick, Robert, Robinson, Geoffrey R.
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Completely simple endomorphism rings of modules
Applied General Topology, 2018 It is proved that if Ap is a countable elementary abelian p-group, then: (i) The ring End (Ap) does not admit a nondiscrete locally compact ring topology.
Victor Bovdi +2 more
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