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SEPARATING CHARACTERS BY BLOCKS

Published online by Cambridge University Press:  24 April 2006

CHRISTINE BESSENRODT ,
GUNTER MALLE  and
JØRN B. OLSSON
CHRISTINE BESSENRODT
Affiliation:
Institut für Mathematik, Fakultät für Mathematik und Physik, Universität Hannover, Welfengarten 1, D-30167 Hannover, [email protected]
GUNTER MALLE
Affiliation:
Fachbereich Mathematik, Universität Kaiserslautern, Postfach 3049, D-67653 Kaiserslautern, [email protected]
JØRN B. OLSSON
Affiliation:
Matematisk Institut, Københavns Universitet, Universitetsparken 5, 2100 Copenhagen Ø, [email protected]
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Abstract

We investigate the problem of finding a set of prime divisors of the order of a finite group, such that no two irreducible characters are in the same p-block for all primes p in the set. Our main focus is on the simple and quasi-simple groups. For results on the alternating and symmetric groups and their double covers, some combinatorial results on the cores of partitions are proved, which may be of independent interest. We also study the problem for groups of Lie type. The sporadic groups (and their relatives) are checked using GAP.

Keywords

20C1505A17
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 73 , Issue 2 , April 2006 , pp. 493 - 505
Copyright
The London Mathematical Society 2006

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