Lifting \(N_\infty\) operads from conjugacy data

DOI10.2140/tunis.2023.5.479arXiv2209.06798OpenAlexW4388222730MaRDI QIDQ6064220

Ethan MacBrough, Kyle M. Ormsby, Scott Balchin

Publication date: 9 November 2023

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.06798

zbMATH Keywords

equivariant homotopysubgroup fusionsubgroup latticehomotopical combinatoricsN-infinity operads

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Structure theory of lattices (06B05) Connections of group theory with homological algebra and category theory (20J99) Equivariant homotopy theory in algebraic topology (55P91)

Cites Work

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• Lie algebras admitting a metacyclic Frobenius group of automorphisms
• Operadic multiplications in equivariant spectra, norms, and transfers
• Conditions under which a lattice is isomorphic to the lattice of subgroups of a group
• Encoding equivariant commutativity via operads
• Combinatorial \(N_\infty\) operads
• \(N_\infty \)-operads and associahedra
• Self-duality of the lattice of transfer systems via weak factorization systems
• Finite groups and Lie rings with a metacyclic Frobenius group of automorphisms.
• Genuine equivariant operads
• On the Structure of Frobenius Groups
• On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate
• GROUPS WITH MANY PRONORMAL SUBGROUPS
• Finite Soluble Groups with Pronormal System Normalizers
• Finite Groups with Pro-Normal Subgroups
• Finite Groups with Quasi-Dihedral and Wreathed Sylow 2-Subgroups
• DETECTING STEINER AND LINEAR ISOMETRIES OPERADS
• Topological modular forms with level structure
• Model structures on finite total orders

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