Download this article
Download this article For screen
For printing
Recent Issues
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 4
Volume 5, Issue 3
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 4
Volume 4, Issue 3
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 4
Volume 2, Issue 3
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 4
Volume 1, Issue 3
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the journal
Ethics and policies
Peer-review process
Statement, 2023
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN 2576-7666 (online)
ISSN 2576-7658 (print)
Author index
To appear
 
Other MSP Journals
Lifting $N_\infty$ operads from conjugacy data

Scott Balchin, Ethan MacBrough and Kyle Ormsby
Vol. 5 (2023), No. 3, 479–504
DOI: 10.2140/tunis.2023.5.479
Abstract

We isolate a class of groups — called lossless groups — for which homotopy classes of G-N∞ operads are in bijection with certain restricted transfer systems on the poset of conjugacy classes Sub ⁡ (G)∕G.

Keywords
homotopical combinatorics, equivariant homotopy, N-infinity operads, subgroup lattice, subgroup fusion
Mathematical Subject Classification
Primary: 06B05, 20D30, 20J99, 55P91
Milestones
Received: 12 October 2022
Revised: 25 February 2023
Accepted: 11 March 2023
Published: 2 November 2023
Authors
Scott Balchin
Mathematical Sciences Research Centre
Queen’s University Belfast
Belfast
UK
Ethan MacBrough
Department of Mathematics and Statistics
Reed College
Portland, OR
United States
Kyle Ormsby
Department of Mathematics and Statistics
Reed College
Portland, OR
United States		 Department of Mathematics
University of Washington
Seattle, WA
United States
© 2023 MSP (Mathematical Sciences Publishers).