Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group
From MaRDI portal
Publication:403063
DOI10.1016/J.JALGEBRA.2014.03.021zbMath1309.55004arXiv1210.0639OpenAlexW2035768979MaRDI QIDQ403063
Publication date: 29 August 2014
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.0639
Modular representations and characters (20C20) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop spaces (55P35) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05) Homology and cohomology of (H)-spaces (57T25)
Related Items (5)
Correspondence functors and finiteness conditions ⋮ The splitting of cohomology of \(p\)-groups with rank 2 ⋮ Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group. II. ⋮ Generalized correspondence functors ⋮ Representations of finite sets and correspondences
Cites Work
- Unnamed Item
- Two classifications of simple Mackey functors with applications to group cohomology and the decomposition of classifying spaces
- Equivariant stable homotopy and Segal's Burnside ring conjecture
- The complete stable splitting for the classifying space of a finite group
- Stable splittings of classifying spaces of finite groups
- A study of certain modular representations
- On odd degree parts of cohomology of sporadic simple groups whose Sylow \(p\)-subgroup is the extra-special \(p\)-group of order \(p^3\)
- Mod \(p\) cohomology algebras of finite groups with extraspecial Sylow \(p\)-subgroups
- The classification of \(p\)-local finite groups over the extraspecial group of order \(p^3\) and exponent \(p\).
- On odd prime components of cohomologies of sporadic simple groups and the rings of universal stable elements
- Set functors equipped with a double action
- Simple biset functors and double Burnside ring
- The spectrum of an equivariant cohomology ring. I. II
- The integral cohomology rings of some p-groups
- The mod-p cohomology rings of some p-groups
- Stable decompositions of classifying spaces of finite abelianp-groups
- Stably splitting BG
- On the cohomology of the sporadic simple group J4
- Stable splitting and cohomology of p-local finite groups over the extraspecial p-group of order p^3 and exponent p
- The Integral Cohomology Rings of Groups of Order p 3
This page was built for publication: Representations of the double Burnside algebra and cohomology of the extraspecial \(p\)-group