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A Classification of the Maximal Subgroups of the Finite Alternating ...


A classification of the maximal subgroups of the finite alternating and ...

An observation on the degrees of projective representations of the symmetric and alternating groups over an arbitrary field.

A Classification of the Maximal Subgroups of the Finite Alternating ...

Following the classification of finite simple groups, one of the major problems in finite group theory today is the determination of the maximal.

A classification of the maximal subgroups of the finite alternating and ...

We prove THEOREM. Every maximal subgroup G of A, or S, is of one of the types (a)-(f) above. Conversely, if G is a subgroup ...

A classification of certain maximal subgroups of alternating groups

2000 Mathematics Subject Classification. 20B35, 20E28. Key words and phrases. symmetric group, permutation groups, maximal subgroups. © 2008 American ...

"Novelty" maximal subgroups in $S_n$ - MathOverflow

The best reference for this topic seems to be this paper: A classification of the maximal subgroups of the finite alternating and symmetric ...

O'Nan–Scott Theory and the maximal subgroups of finite alternating ...

7 - O'Nan–Scott Theory and the maximal subgroups of finite alternating and symmetric groups ... HTML view is not available for this content. However, as you have ...

A classification of certain maximal subgroups of alternating groups ...

Motivated by the maximal subgroup problem of the finite classical groups we begin the classification of imprimitive irreducible modules of finite quasisimple ...

Classification of Maximal Subgroups of Odd Index in Finite Simple ...

Abstract:A classification of maximal subgroups of odd index in finite simple groups was given by Liebeck and Saxl and, independently, ...

Classification of maximal subgroups of odd index in finite groups ...

A classification of maximal subgroups of odd index in finite groups with alternating socle is obtained.

1 Maximal subgroups of finite simple groups: classifications and ...

A classification of the maximal subgroups of the finite alternating and symmetric groups. J. Algebra 111. (1987), 365–383. [62] M. W. Liebeck and G.M. Seitz ...

Smallest subgroup of $A_{24}$ that strictly contains the Mathieu ...

Liebeck, Praeger, Saxl, A Classification of the Maximal Subgroups of the Finite Alternating and Symmetric Groups, J.Alg. 111, 365-383 (1987) ...

A classification of the maximal subgroups of the finite alternating and ...

This article provides a classification of the subgroups H of G such that $\mathcal {O}_{G}(H)$ is Boolean of rank at least $3$ when G is a finite alternating or ...

Second maximal subgroups of the finite alternating and symmetric ...

Various reduction arguments are available except when G is almost simple. Following the classification of the finite simple groups, finite almost simple groups ...

A classification of certain maximal subgroups of symmetric groups

Kalužnin and Klin [L.A. Kalužnin, M.H. Klin, Certain maximal subgroups of symmetric and alternating groups, Math. Sb. 87 (1972) 91–121] and ...

A classification of certain maximal subgroups of alternating groups

Benesh B. 2008. A classification of certain maximal subgroups of alternating groups. In: Kappe L-C, Magidin A, Morse RF, editors. Contemporary Mathematics 470: ...

Classification of Maximal Subgroups of Odd Index in Finite Groups ...

Keywords: alternating group, symmetrical group, maximal subgroup, odd index. DOI: 10.1134/S0081543814050149. INTRODUCTION. The subgroup of a finite group G ...

On conjugacy classes of maximal subgroups of finite simple groups ...

2000 Mathematics Classification Numbers: 20E28, 20G15, 20D06. 1. Page 2. 1 Introduction. For a finite group G and ...

MAXIMAL SUBGROUPS OF FINITE CLASSICAL GROUPS AND ...

The seminal contribution to the classification of the maximal subgroups of the finite classical groups was Aschbacher's theorem [1]. Aschbacher defines eight “ ...

Maximal subgroups of of the alternating group of degree 5

To do the order 10 one (assuming that an order 10 group exists), note that a subgroup of order 10 contains a 5-cycle and an element τ of ...

On the maximal subgroups of the finite classical groups. - EuDML

On the maximal subgroups of the finite classical groups. M ... Abstract finite groups. 20D06: Simple groups: alternating groups and groups of Lie type; 20D25 ...