The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916283960786944 |
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| author | Balchin, Scott MacBrough, Ethan Ormsby, Kyle |
| author_facet | Balchin, Scott MacBrough, Ethan Ormsby, Kyle |
| contents | 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 $D_{p^n}$, $p > 2$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_06992 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$ Balchin, Scott MacBrough, Ethan Ormsby, Kyle Algebraic Topology Combinatorics 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 $D_{p^n}$, $p > 2$ 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. |
| title | The combinatorics of $N_\infty$ operads for $C_{qp^n}$ and $D_{p^n}$ |
| topic | Algebraic Topology Combinatorics |
| url | https://arxiv.org/abs/2209.06992 |