Sets of integers as superdegrees and superclass sizes

Author:
Benjamin Allen Otto

Journal:
Proc. Amer. Math. Soc. **139** (2011), 1309-1319

MSC (2010):
Primary 20C15

Published electronically:
October 29, 2010

MathSciNet review:
2748424

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Abstract | References | Similar Articles | Additional Information

Abstract: Supercharacters have recently been proposed as a sort of stand-in 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/S0002-9939-2010-10748-7

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.