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Reduced Fusion Systems over 2-Groups of Sectional Rank at Most 4, PDF eBook

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

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