Lifting $N_{\infty }$ operads from conjugacy data

Abstract

We isolate a class of groups -- called lossless groups -- for which homotopy classes of $G$-$N_{\infty }$ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes $\mathrm{Sub}(G)/G$.

v2: updates in response to referee report, accepted version in Tunisian Journal of Mathematics; 24 pages, 16 figures. v1: 22 pages, 13 figures; comments welcome!

References in corpus (1)

• Lie algebras admitting a metacyclic Frobenius group of automorphisms

Cited by in corpus (1)

• Transfer systems for rank two elementary Abelian groups: characteristic functions and matchstick games