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Separating Characters by Blocks |
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| Authors: | Bessenrodt, Christine Malle, Gunter Olsson, Jorn B. |
| Affiliation: | Institut für Mathematik, Fakultät für Mathematik und Physik, Universität Hannover Welfengarten 1, D-30167 Hannover, Germany bessen{at}math.uni-hannover.de Fachbereich Mathematik, Universität Kaiserslautern Postfach 3049, D-67653 Kaiserslautern, Germany malle{at}mathematik.uni-kl.de Matematisk Institut, Københavns Universitet Universitetsparken 5, 2100 Copenhagen Ø, Denmark olsson{at}math.ku.dk |
| Abstract: | We investigate the problem of finding a set of prime divisorsof the order of a finite group, such that no two irreduciblecharacters are in the same p-block for all primes p in the set.Our main focus is on the simple and quasi-simple groups. Forresults on the alternating and symmetric groups and their doublecovers, some combinatorial results on the cores of partitionsare proved, which may be of independent interest. We also studythe problem for groups of Lie type. The sporadic groups (andtheir relatives) are checked using GAP. |
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