The combinatorics of N∞ operads for Cqpn and Dpn

被引：0
|
作者：
Balchin, Scott [1 ]
Macbrough, Ethan [2 ,3 ]
Ormsby, Kyle [2 ,3 ]
机构：
[1] Queens Univ Belfast, Belfast BT7 1NN, North Ireland
[2] Reed Coll, Portland, OR 97202 USA
[3] Univ Washington, Seattle, WA 98195 USA
来源：
GLASGOW MATHEMATICAL JOURNAL | 2025年 / 67卷 / 01期
基金：
欧洲研究理事会; 美国国家科学基金会;
关键词：
homotopical combinatorics; equivariant homotopy; N-infinity operads;
D O I：
10.1017/S0017089524000211
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide a general recursive method for constructing transfer systems on finite lattices. Using this, we calculate the number of homotopically distinct N-infinity operads for dihedral groups D(p)n , p > 2 prime, and cyclic groups C(qp)n , p not equal q prime. We then further display some of the beautiful combinatorics obtained by restricting to certain homotopically meaningful N-infinity operads for these groups.
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页码：50 / 66
页数：17
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