Sets of integers as superdegrees and superclass sizes
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- by Benjamin Allen Otto PDF
- Proc. Amer. Math. Soc. 139 (2011), 1309-1319 Request permission
Abstract:
Supercharacters have recently been proposed as a sort of stand-in for the characters of $p$-groups. If $q>1$ is a prime power, then every set of $q$-powers that contains $1$ is both a set of superdegrees and a set of superclass sizes. Moreover, if $r$ and $s$ are integers that are greater than $1$, then there is an algebra with exactly $r$ superdegrees and exactly $s$ superclass sizes. These results are direct analogs of results from the theory of $p$-groups.References
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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
- Received by editor(s): May 1, 2010
- Published electronically: October 29, 2010
- Communicated by: Jonathan I. Hall
- © Copyright 2010
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 139 (2011), 1309-1319
- MSC (2010): Primary 20C15
- DOI: https://doi.org/10.1090/S0002-9939-2010-10748-7
- MathSciNet review: 2748424