Equivariant homotopy commutativity for $G=C_{pqr}$

Scott Balchin; Daniel Bearup; Clelia Pech; Constanze Roitzheim

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arXiv · 2001.05815

Equivariant homotopy commutativity for $G=C_{pqr}$

Scott Balchin·Daniel Bearup·Clelia Pech·Constanze Roitzheim

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Abstract

We investigate the combinatorial data arising from the classification of equivariant homotopy commutativity for cyclic groups of order $G=C_{p_1 \cdots p_n}$ for $p_i$ distinct primes. In particular, we will prove a structural result which allows us to enumerate the number of $N_\infty$-operads for $C_{pqr}$, verifying a computational result.

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Scott Balchin, Daniel Bearup, Clelia Pech, Constanze Roitzheim. 2020-01-16. Equivariant homotopy commutativity for $G=C_{pqr}$. https://arxiv.org/abs/2001.05815

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