Abstract

We show that any two split metacyclic groups with the same character tables are isomorphic. We then use this to show that among metacyclic groups that are either 2-groups or are of odd order divisible by at most two primes, that the dihedral and generalized quaternion groups of order 2^n, n = 3, are the only pairs that have the same character tables.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2013-03-11

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd5948

Keywords

finite group, metacyclic group, split metacyclic group, character table, p-group

Language

English

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Mathematics Commons

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