The author classifies all reduced, indecomposable fusion systems over finite $2$-groups of sectional rank at most $4$. The resulting list is very similar to that by Gorenstein and Harada of all simple groups of sectional $2$-rank at most $4$. But this method of proof is very different from theirs, and is based on an analysis of the essential subgroups which can occur in the fusion systems.
| ISBN: | 9781470415488 |
| Publication date: | 30th January 2016 |
| Author: | Robert Oliver |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 100 pages |
| Series: | Memoirs of the American Mathematical Society |
| Genres: |
Algebraic geometry Algebra |