Geodesic
The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$
Glasgow mathematical journal, Tome 67 (2025) no. 1, pp. 50-66

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DOI

We provide a general recursive method for constructing transfer systems on finite lattices. Using this, we calculate the number of homotopically distinct $N_{\infty} $ operads for dihedral groups $D_{p^n}$, $p \gt 2$ prime, and cyclic groups $C_{qp^n}$, $p \neq q$ prime. We then further display some of the beautiful combinatorics obtained by restricting to certain homotopically meaningful $N_\infty$ operads for these groups.
DOI : 10.1017/S0017089524000211
Mots-clés : homotopical combinatorics, equivariant homotopy, N-infinity operads 
Balchin, Scott; MacBrough, Ethan; Ormsby, Kyle. The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$. Glasgow mathematical journal, Tome 67 (2025) no. 1, pp. 50-66. doi: 10.1017/S0017089524000211
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     title = {The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$},
     journal = {Glasgow mathematical journal},
     pages = {50--66},
     year = {2025},
     volume = {67},
     number = {1},
     doi = {10.1017/S0017089524000211},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000211/}
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