The Abelian Monoid of Fusion-stable Finite Sets Is Free

  • SUNE PRECHT REEH
  • Published 2015

Abstract

We show that the abelian monoid of isomorphism classes of G-stable finite S-sets is free for a finite group G with Sylow p-subgroup S; here a finite S-set is called Gstable if it has isomorphic restrictions to G-conjugate subgroups of S. These G-stable Ssets are of interest, e.g., in homotopy theory. We prove freeness by constructing an explicit (but… (More)

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Cite this paper

@inproceedings{REEH2015TheAM, title={The Abelian Monoid of Fusion-stable Finite Sets Is Free}, author={SUNE PRECHT REEH}, year={2015} }