Normalizers of chains of discrete \(p\)-toral subgroups in compact Lie groups
From MaRDI portal
Publication:2145894
DOI10.1016/j.topol.2022.108101zbMath1496.55015arXiv2111.05888OpenAlexW3211817737WikidataQ114127988 ScholiaQ114127988MaRDI QIDQ2145894
Kathryn Lesh, Michelle Strumila, Eva Belmont, Natàlia Castellana, Jelena Grbic
Publication date: 15 June 2022
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05888
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Discrete subgroups of Lie groups (22E40) Local properties of groups (20E25)
Cites Work
- Unnamed Item
- Fusion systems and localities.
- Existence and uniqueness of linking systems: Chermak's proof via obstruction theory
- An algebraic model for finite loop spaces
- Homology decompositions for classifying spaces of finite groups
- The normaliser decomposition for \(p\)-local finite groups
- Discrete models for the \(p\)-local homotopy theory of compact Lie groups and \(p\)-compact groups
- Homotopy classification of self-maps of \(BG\) via \(G\)-actions. II
- Homotopy decomposition of classifying spaces via elementary Abelian subgroups
- \(p\)-Stubborn subgroups of classical compact Lie groups
- Homotopy fixed-point methods for Lie groups and finite loop spaces
- Higher limits via subgroup complexes
- Some new examples of simple \(p\)-local compact groups
- Homology decompositions for \(p\)-compact groups
- Homotopy decompositions of orbit spaces and the Webb conjecture
- Orbit spaces, Quillen's Theorem A and Minami's formula for compact Lie groups
- Homology decompositions for classifying spaces of compact Lie groups
- Existence and uniqueness of classifying spaces for fusion systems over discretep-toral groups
- Subgroup families controlling p-local finite groups
This page was built for publication: Normalizers of chains of discrete \(p\)-toral subgroups in compact Lie groups