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: ...

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

12. G.A Jones, K.D Soomro. The maximality of certain wreath products in alternating and symmetric groups. Quart. J ...

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

2 < SZi. 4. The theorem can easily be used to construct an algorithm which decides the following question: given a primitive permutation group G of.

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

Request PDF | A classification of certain maximal subgroups of alternating groups | This paper addresses an extension of Problem 12.82 of The Kourovka ...

A classification of certain maximal subgroups of symmetric groups

Abstract. Problem 12.82 of the Kourovka Notebook asks for all ordered pairs ( n , m ) such that the symmetric group S n embeds in S m as a ...

Maximal subgroups of Alternating groups of degree $p$, for some ...

Burnside proved that a transitive group of prime degree p either has a normal subgroup of order p or is doubly transitive. As a consequence of ...

Subgroup structure of alternating group:A5 - Groupprops - subwiki.org

This article gives specific information, namely, subgroup structure, about a particular group, namely: alternating group:A5. ... . The group has order 60. Family ...

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

A classification of the maximal subgroups of the finite alternating and symmetric groups. ... certain wreath products in alternating and symmetric groups, Quart.

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, ...

(PDF) On certain maximal subgroups of symmetric or alternating ...

... It is clear just from Lemmas 1 and 2 that the Galois correspondence makes a connection between the problem about maximality of a given permutation group in ...

O'Nan–Scott theorem - Wikipedia

The theorem states that a maximal subgroup of the symmetric group Sym(Ω), where |Ω| = n, is one of the following: Sk × Sn−k the stabilizer of a k-set (that is, ...

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

We let G be the subgroup of the symmetric group on Ω given by the natural action of G on 2-subsets of {1,...,m}, so that G is the automorphism group of the ...

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) ...

Subgroup structure of alternating group:A6 - Groupprops - subwiki.org

Subgroup structure of alternating group:A6 ... This article gives specific information, namely, subgroup structure, about a particular group, ...

ON CERTAIN MAXIMAL SUBGROUPS OF SYMMETRIC AND ...

Despite the fact that the problem of describing the maximal subgroups of the sym- metric and alternating groups is a very natural one and could have been of ...

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.

MAXIMAL SUBGROUPS OF SYMMETRIC GROUPS(')

The following theorem lists some facts about J(7,Z)-subgroups for which the proofs are obvious, hence omitted. The notation H _ G means that H is a sub- group ...

Maximal Subgroups of Automorphism Groups of Simple Groups

maximal subgroups of the symmetric groups Sn and alternating groups An is given. This classification was obtained independently by Scott and O'Nan, and is done ...

[1509.00534] Alternating Subgroups of Exceptional Groups of Lie Type

Note that no maximal alternating or symmetric subgroups are known in the remaining cases. This is the first in a sequence of papers aiming ...