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- Title
THE ESSENTIAL RANK OF FUSION SYSTEMS OF BLOCKS OF SYMMETRIC GROUPS.
- Authors
AN, JIANBEI; DIETRICH, HEIKO; Newman, Mike
- Abstract
Let p be a prime and let B be a p-block of the symmetric group S(n) on n points. Let (D, bD) be a Sylow B-subgroup of S(n). We consider the fusion system ${\mathcal F}_{(D,\, b_D)}(G, B)$ and determine a precise formula for its essential rank. In addition, the p-blocks B which admit a p-local subgroup of S(n) controlling B-fusion are characterized.
- Subjects
MATHEMATICAL symmetry; GROUP theory; MATHEMATICAL formulas; MATHEMATICAL analysis; NUMERICAL analysis; SYSTEM analysis
- Publication
International Journal of Algebra & Computation, 2012, Vol 22, Issue 1, p1250002
- ISSN
0218-1967
- Publication type
Article
- DOI
10.1142/S0218196711006686