Multiplicity-free permutation representations of the alternating groups

A transitive permutation representation of a finite group G is said to be multiplicity-free if each irreducible constituent of the associated permutation character of G occurs with multiplicity one. If H is a subgroup of G, then G acts naturally on the set of cosets of H. This action is transitive and the associated permutation character is given by the character 1$\rm \sbsp{H}{G}$ of G induced from the trivial character of H. If 1$\rm \sbsp{H}{G}$ is multiplicity-free, then H is said to be a multiplicity-free subgroup of G.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2011

Author dc:creator

• Balmaceda, Jose Maria P.

Contributors dc:contributor

• Suzuki, Michio

• Mathematics

Statement dc:rights

• Copyright 1991 Balmaceda, Jose Maria P.

Language dc:language

eng

Identifier

AAI9136537
(UMI)AAI9136537

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/22828