Sets of integers as superdegrees and superclass sizes
Author:
Benjamin Allen Otto
Journal:
Proc. Amer. Math. Soc. 139 (2011), 13091319
MSC (2010):
Primary 20C15
Published electronically:
October 29, 2010
MathSciNet review:
2748424
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Abstract: Supercharacters have recently been proposed as a sort of standin for the characters of groups. If is a prime power, then every set of powers that contains is both a set of superdegrees and a set of superclass sizes. Moreover, if and are integers that are greater than , then there is an algebra with exactly superdegrees and exactly superclass sizes. These results are direct analogs of results from the theory of groups.
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Additional Information
Benjamin Allen Otto
Affiliation:
Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
Email:
botto@bgsu.edu
DOI:
http://dx.doi.org/10.1090/S000299392010107487
Received by editor(s):
May 1, 2010
Published electronically:
October 29, 2010
Communicated by:
Jonathan I. Hall
Article copyright:
© Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.
