Homotopy equivalences between \(p\)-subgroup categories

DOI10.1016/j.jpaa.2014.10.002zbMath1307.05228arXiv1301.0193OpenAlexW2963743334MaRDI QIDQ2259196

Jesper Michael Møller, Matthew Gelvin

Publication date: 27 February 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0193

Mathematics Subject Classification ID

Partial orders, general (06A06) Category of groups (20J15)

Related Items (2)

Recognizing nullhomotopic maps into the classifying space of a Kac-Moody group ⋮ The number of $p$-elements in finite groups of Lie type of characteristic $p$

Cites Work

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• Homology decompositions for classifying spaces of finite groups
• The Burnside ring of fusion systems
• A cohomology decomposition theorem
• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Homotopy equivalences of \(p\)-completed classifying spaces of finite groups
• Euler characteristics and Möbius algebras of \(p\)-subgroup categories.
• Frobenius categories versus Brauer blocks. The Grothendieck group of the Frobenius category of a Brauer block.
• The Euler characteristic of a category
• Homotopy limits, completions and localizations
• G-functors, G-posets and homotopy decompositions of G-spaces
• Higher algebraic K-theory: I
• Homotopy colimits in the category of small categories
• The homotopy theory of fusion systems
• Subgroup families controlling p-local finite groups
• The Homology Products in K(II, n)

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