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arXiv · 0908.0783

Fusion systems on metacyclic 2-groups

Benjamin Sambale
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Abstract

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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Benjamin Sambale. 2010-10-19. Fusion systems on metacyclic 2-groups. https://arxiv.org/abs/0908.0783

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