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20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D05 Finite simple groups and their classification

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Displaying 1 – 13 of 13

$T_{3}$ -systems of finite simple groups

C. David (1993)

Rendiconti del Seminario Matematico della Università di Padova

The Characterisation of the Suzuki Groups by Their Sylow 2-Subgroups.

Michael J. Collins (1971)

Mathematische Zeitschrift

The Core-Free Groups of Sylow-2-type M24.

Hedwig Sandlöbes, Ulrich Schoenwaelder (1979)

Mathematische Zeitschrift

The Friendly Giant.

Robert L., Jr. Griess (1982)

Inventiones mathematicae

The number of finite groups whose element orders is given.

Moghaddamfar, A.R., Shi, W.J. (2006)

Beiträge zur Algebra und Geometrie

The Tits Group as a Standard Subgroup.

Michael Aschbacher (1982)

Mathematische Zeitschrift

Thompson’s conjecture for the alternating group of degree $2 p$ and $2 p + 1$

Azam Babai, Ali Mahmoudifar (2017)

Czechoslovak Mathematical Journal

For a finite group $G$ denote by $N (G)$ the set of conjugacy class sizes of $G$ . In 1980s, J. G. Thompson posed the following conjecture: If $L$ is a finite nonabelian simple group, $G$ is a finite group with trivial center and $N (G) = N (L)$ , then $G ≅ L$ . We prove this conjecture for an infinite class of simple groups. Let $p$ be an odd prime. We show that every finite group $G$ with the property $Z (G) = 1$ and $N (G) = N (A_{i})$ is necessarily isomorphic to $A_{i}$ , where $i \in {2 p, 2 p + 1}$ .

Thompson's Problem (... =3).

Enrico Bombieri (1980)

Inventiones mathematicae

Three amalgams of A_5

Panagiotis Papadopoulos (1999)

Δελτίο της Ελληνικής Μαθηματικής Εταιρίας

Tits Geometries and Parabolic Systems in Finitely Generated Groups I.

Franz G. Timmesfeld (1983)

Mathematische Zeitschrift

Tits Geometries and Parabolic Systems in Finitely Generated Groups II.

Franz G. Timmesfeld (1983)

Mathematische Zeitschrift

TI-подгруппы в группах типа характеристики 2

А.А. Махнев (1985)

Matematiceskij sbornik

Trace Ideals of Relation Modules of Finite Groups.

Julian S. Williams (1978)

Mathematische Zeitschrift

Currently displaying 1 – 13 of 13

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