## LSU Historical Dissertations and Theses

1991

Dissertation

#### Degree Name

Doctor of Philosophy (PhD)

Mathematics

Robert V. Perlis

#### Abstract

This dissertation provides a method to construct infinite families of triples ($H\sb{i},H\sbsp{i}{\prime},G\sb{i}$) consisting of two non-conjugate subgroups $H\sb{i}$ and $H\sbsp{i}{\prime}$ of a finite group $G\sb{i}$ whose trivial representations induce isomorphic representations of $G\sb{i}$. Such triples are important in number theory, differential geometry, and group theory.

27

COinS