A classification of certain maximal subgroups of alternating groups

Authors

Bret Benesh, College of Saint Benedict/Saint John's UniversityFollow

Document Type

Conference Proceeding

Publication Date

2008

Disciplines

Algebra | Mathematics

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 S_n embeds in S_m 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

Recommended Citation

Benesh B. 2008. A classification of certain maximal subgroups of alternating groups. In: Kappe L-C, Magidin A, Morse RF, editors. Contemporary Mathematics 470: Computational Group Theory and the Theory of Groups, AMS Special Session on Computational Group Theory, March 3-4, 2007, Davidson, North Carolina. Providence (RI): American Mathematical Society. p. 21-26.