On the composition product of saturated fusion systems
Representation Theory
2011-02-28 v1 Algebraic Topology
Group Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1102.5280,
title = {On the composition product of saturated fusion systems},
author = {Sejong Park and Kári Ragnarsson and Radu Stancu},
journal= {arXiv preprint arXiv:1102.5280},
year = {2011}
}
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8 pages