Fusion systems on metacyclic 2-groups

Details Fusion systems on metacyclic 2-groups Fusion systems on metacyclic 2-groups

2009-08-06

arxiv.org/abs/0908.0783v3

Mathematics

Group Theory

4 pages, corrected version

Scientific paper

Let P be a finite metacyclic 2-group and F a fusion system on P. We prove
that F is nilpotent unless P has maximal class or P is homocyclic, i.e. P is a
direct product of two isomorphic cyclic groups. As a consequence we obtain the
numerical invariants for 2-blocks with metacyclic defect groups. This paper is
a part of the author's PhD thesis.

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