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# SUBGROUP FAMILIES CONTROLLING p-LOCAL FINITE GROUPS

@inproceedings{GRODAL2005SUBGROUPFC, title={SUBGROUP FAMILIES CONTROLLING p-LOCAL FINITE GROUPS}, author={J. GRODAL and Ran Levi and Bob Oliver}, year={2005} }

- Published 2005

A p-local finite group consists of a finite p-group S, together with a pair of categories which encode “conjugacy” relations among subgroups of S, and which are modelled on the fusion in a Sylow p-subgroup of a finite group. It contains enough information to define a classifying space which has many of the same properties as p-completed classifying spaces of finite groups. In this paper, we examine which subgroups control this structure. More precisely, we prove that the question of whether an… CONTINUE READING

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