Abstract
Let p be an odd prime, and let S be a p-group with a unique elementary abelian subgroup A of index p. We classify the simple fusion systems over all such groups S in which A is essential. The resulting list, which depends on the classification of finite simple groups, includes a large variety of new, exotic simple fusion systems.
Original language | English |
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Pages (from-to) | 201–268 |
Number of pages | 68 |
Journal | Advances in Mathematics |
Volume | 322 |
Early online date | 13 Nov 2017 |
DOIs | |
Publication status | Published - 15 Dec 2017 |
Keywords
- finite groups
- fusion
- finite simple groups
- modular representations
- sylow subgroups