The combinatorics of \(N_\infty\) operads for \(C_{qp^n}\) and \(D_{p^n}\)
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| Publicado en: | Glasgow Mathematical Journal vol. 67, no. 1 (Jan 2025), p. 50 |
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| Autor principal: | |
| Otros Autores: | , |
| Publicado: |
Cambridge University Press
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| Materias: | |
| Acceso en línea: | Citation/Abstract Full Text - PDF |
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| Resumen: | We provide a general recursive method for constructing transfer systems on finite lattices. Using this, we calculate the number of homotopically distinct <inline-formula><inline-graphic mime-subtype="png" xlink:href="S0017089524000211_inline4.png" />\(N_{\infty} \)</inline-formula> operads for dihedral groups <inline-formula><inline-graphic mime-subtype="png" xlink:href="S0017089524000211_inline5.png" />\(D_{p^n}\)</inline-formula>, <inline-formula><inline-graphic mime-subtype="png" xlink:href="S0017089524000211_inline6.png" />\(p \gt 2\)</inline-formula> prime, and cyclic groups <inline-formula><inline-graphic mime-subtype="png" xlink:href="S0017089524000211_inline7.png" />\(C_{qp^n}\)</inline-formula>, <inline-formula><inline-graphic mime-subtype="png" xlink:href="S0017089524000211_inline8.png" />\(p \neq q\)</inline-formula> prime. We then further display some of the beautiful combinatorics obtained by restricting to certain homotopically meaningful <inline-formula><inline-graphic mime-subtype="png" xlink:href="S0017089524000211_inline9.png" />\(N_\infty\)</inline-formula> operads for these groups. |
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| ISSN: | 0017-0895 1469-509X |
| DOI: | 10.1017/S0017089524000211 |
| Fuente: | Science Database |