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Conference Proceeding

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Algebra | Mathematics


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.


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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