Reduced Fusion Systems Over 2-groups Of Sectional Rank At Most 4 (memoirs Of The American Mathematical Society)
by Bob Oliver /
2016 / English / PDF
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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.
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.
