On the composition product of saturated fusion systems

Details On the composition product of saturated fusion systems On the composition product of saturated fusion systems

2011-02-25

arxiv.org/abs/1102.5280v1

Mathematics

Representation Theory

8 pages

Scientific paper

We say that a fusion system is the composition product of two subsystems if every morphism can be factored as a morphism in one fusion system followed by a morphism in the other. We establish a relationship between the characteristic idempotent of a saturated fusion system that is the composition product of saturated subsystems and the characteristic idempotents of the component systems. Consequently we obtain a compatibility result for transfer through the composition product and transfer through the component systems.

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