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20002020
most citedThe classification of 2-compact groups

37 citations · 116 across the 14 of their papers we have counts for

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13 papers · 1 filter

math.AT2020★ 3 cited

String topology of finite groups of Lie type

Jesper Grodal, Anssi Lahtinen

We show that the mod cohomology of any finite group of Lie type in characteristic different from admits the structure of a module over the mod cohomology o…

math.AT2012★ 14 cited

Group cohomology and control of p-fusion

David Benson, Jesper Grodal, Ellen Henke

We show that if an inclusion of finite groups H < G of index prime to p induces a homeomorphism of mod p cohomology varieties, or equivalently an F-isomorphism in mod p cohomology,…

math.AT2010

The classification of p-compact groups and homotopical group theory

Jesper Grodal

We survey some recent advances in the homotopy theory of classifying spaces, and homotopical group theory. We focus on the classification of p-compact groups in terms of root data…

math.AT2007★ 8 cited

The Steenrod problem of realizing polynomial cohomology rings

Kasper K. S. Andersen, Jesper Grodal

In this paper we completely classify which graded polynomial R-algebras in finitely many even degree variables can occur as the singular cohomology of a space with coefficients in…

math.AT2006★ 37 cited

The classification of 2-compact groups

Kasper K. S. Andersen, Jesper Grodal

We prove that any connected 2-compact group is classified by its 2-adic root datum, and in particular the exotic 2-compact group DI(4), constructed by Dwyer-Wilkerson, is the only…

math.AT2005★ 1 cited

The classification of 2-compact groups (talk summary)

Kasper K. S. Andersen, Jesper Grodal

This is a summary of a talk given at the "Conference on Pure and Applied Topology", Isle of Skye, June 24, 2005. It contains an announcement and sketch of proof of the classificati…