Document Type

Conference Proceeding

Publication Date

2008

Abstract

This paper addresses and extension of Problem 12.82 of the Kourovka notebook, which asks for all ordered pairs (n,m) such that the symmetric groups Sn embeds in Sm as a maximal subgroup. Problem 12.82 was answered in a previous paper by the author and Benjamin Newton. In this paper, we will consider the extension problem where we allow either or both of the groups from the ordered pair to be an alternating group.

Comments

First published in Contemporary Mathematics Volume 470: Computational Group Theory and the Theory of Groups in 2008, published by the American Mathematical Society.

Copyright ©2008 American Mathematical Society CC BY-NC-ND 2.0

DOI: 10.1090/conm/470

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Algebra Commons

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