Abstract
The Schur multiplier of a fusion system F on a finite p-group P, being defined as the inverse limit of the Schur multipliers of the subgroups of P taken over the category F, has a series of properties analogous to some properties of Schur multipliers of finite groups. This is one of the tools used in [R. Kessar, The Solomon system F-Sol(3) does not occur as fusion system of a 2-block, preprint, 2004] to show that the Solomon fusion system cannot arise as the Brauer category of a p-block of a finite group. (c) 2005 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 402-408 |
Number of pages | 6 |
Journal | Journal of Algebra |
Volume | 296 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2006 |