Reduced Fusion Systems Over 2-Groups of Sectional Rank at Most 4

by Bob Oliver and Robert Oliver

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.

• Format: Paperback
• Language: English
• ISBN: 1470415488
• ISBN13: 9781470415488
• Release Date: January 1848
• Publisher: American Mathematical Society
• Length: 100 Pages