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Applications of the Classification of Finite Simple Groups
Martin W. Liebeck
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The codegree isomorphism problem for finite simple groups [PDF]
We study the codegree isomorphism problem for finite simple groups. In particular, we show that such a group is determined by the codegrees (counting multiplicity) of its irreducible characters.
N. N. Hưng, Alexander Moret'o
semanticscholar +1 more source
ON SOME VERTEX-TRANSITIVE DISTANCE-REGULAR ANTIPODAL COVERS OF COMPLETE GRAPHS
In the present paper, we classify abelian antipodal distance-regular graphs \(\Gamma\) of diameter 3 with the following property: \((*)\) \(\Gamma\) has a transitive group of automorphisms \(\widetilde{G}\) that induces a primitive almost simple ...
Ludmila Yu. Tsiovkina
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Classification of Maximal Subgroups of Odd Index in Finite Simple Classical groups: Addendum
11 pages, to appear in Siberian Electronic Mathematical ...
Н. В. Маслова
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Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко+1 more
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Characterization of solubilizers of elements in minimal simple groups [PDF]
Given a finite group G, the solubilizer of an element x, denoted by SolG(x) , is the set of all elements y such that 〈x,y〉 is a soluble subgroup of G. In this paper, we provide a classification for all solubilizers of elements in minimal simple groups ...
Banafsheh Akbari+3 more
semanticscholar +1 more source
The Classification of the Finite Simple Groups, Number 4 [PDF]
D. Gorenstein, R. Lyons, R. Solomon
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A Simple Classification of Finite Groups of Order p2q2
Suppose G is a group of order p2q2 where p>q are prime numbers and suppose P and Q are Sylow p-subgroups and Sylow q-subgroups of G, respectively. In this paper, we show that up to isomorphism, there are four groups of order p2q2 when Q and P are cyclic, three groups when Q is a cyclic and P is an elementary ablian group, p2+3p/2+7 groups ...
Farzaneh Nowroozi Larki+2 more
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A question of Malinowska on sizes of finite nonabelian simple groups in relation to involution sizes
Let In (G) denote the number of elements of order n in a finite group G . Malinowska recently asked “what is the smallest positive integer k such that whenever there exist two nonabelian finite simple groups S and G with prime divisors p1, · · · , pk of |
C. Anabanti
semanticscholar +1 more source
Objective We aimed to identify unique disease trajectories within rheumatoid arthritis‐associated interstitial lung disease (RA‐ILD) based on longitudinal forced vital capacity (FVC) values and their associated clinical outcomes. Methods We performed a cohort study of RA‐ILD within the Veterans Health Administration from 1999‐2021. RA‐ILD patients were
Bryant R. England+9 more
wiley +1 more source