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CHARACTER TABLES OF METACYCLIC GROUPS

Part of: Special aspects of infinite or finite groups Representation theory of groups

Published online by Cambridge University Press:  17 December 2014

STEPHEN P. HUMPHRIES  and
DANE C. SKABELUND
STEPHEN P. HUMPHRIES
Affiliation:
Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A. e-mail: steve@math.byu.edu, dane.skabelund@gmail.com
DANE C. SKABELUND
Affiliation:
Department of Mathematics, Brigham Young University, Provo, UT 84602, U.S.A. e-mail: steve@math.byu.edu, dane.skabelund@gmail.com
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Abstract

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We show that two metacyclic groups of the following types are isomorphic if they have the same character tables: (i) split metacyclic groups, (ii) the metacyclic p-groups and (iii) the metacyclic {p, q}-groups, where p, q are odd primes.

MSC classification

Primary: 20C15: Ordinary representations and characters
Secondary: 20D15: Nilpotent groups, $p$-groups 20F16: Solvable groups, supersolvable groups 20F22: Other classes of groups defined by subgroup chains
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 57 , Issue 2 , May 2015 , pp. 387 - 400
Copyright
Copyright © Glasgow Mathematical Journal Trust 2014 

References

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