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LIFTS OF PARTIAL CHARACTERS WITH CYCLIC DEFECT GROUPS

Part of: Representation theory of groups

Published online by Cambridge University Press:  22 November 2010

JAMES P. COSSEY  and
MARK L. LEWIS
JAMES P. COSSEY*
Affiliation:
Department of Theoretical and Applied Mathematics, University of Akron, Akron, OH 44325, USA (email: cossey@uakron.edu)
MARK L. LEWIS
Affiliation:
Department of Mathematical Sciences, Kent State University, Kent, OH 44242, USA (email: lewis@math.kent.edu)
*
✉For correspondence; e-mail: cossey@uakron.edu
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Abstract

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We count the number of lifts of an irreducible π-partial character that lies in a block with a cyclic defect group.

Keywords

liftspartial charactersBrauer charactersfinite groupsrepresentationssolvable groups

MSC classification

Secondary: 20C20: Modular representations and characters

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 89 , Issue 2 , October 2010 , pp. 145 - 163
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

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