Coset Posets of Infinite Groups

2019/10/12 by Bux, Kai-Uwe, Welsch, Cora
#20E15 (20F32) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1910.05638

Abstract

We consider the coset poset associated with the families of proper subgroups, proper subgroups of finite index, and proper normal subgroups of finite index. We investigate under which conditions those coset posets have contractible geometric realizations.

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• Coset complexes of p-subgroups in finite groups
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• Coset enumeration for certain infinitely presented groups
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