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- W2235243750 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 G-stable if it has isomorphic restrictions to G-conjugate subgroups of S. These G-stable S-sets are of interest, e.g., in homotopy theory. We prove freeness by constructing an explicit (but somewhat non-obvious) basis, whose elements are in one-to-one correspondence with the G-conjugacy classes of subgroups in S. As a central tool of independent interest, we give a detailed description of the embedding of the Burnside ring for a saturated fusion system into its associated ghost ring." @default.
- W2235243750 created "2016-06-24" @default.
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- W2235243750 date "2013-02-19" @default.
- W2235243750 modified "2023-09-27" @default.
- W2235243750 title "The abelian monoid of fusion-stable finite sets is free" @default.
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