Date of Award
1991
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics
First Advisor
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.
Recommended Citation
Beaulieu, Patricia Wright, "A New Construction of Subgroups Inducing Isomorphic Representations." (1991). LSU Historical Dissertations and Theses. 5107.
https://repository.lsu.edu/gradschool_disstheses/5107
Pages
27
DOI
10.31390/gradschool_disstheses.5107
COinS