Unramified cohomology of finite groups of Lie type
Fedor Bogomolov, Tihomir Petrov, Yuri Tschinkel
TL;DR
This paper establishes vanishing results for the unramified stable cohomology of finite groups of Lie type, advancing understanding of their cohomological properties.
Contribution
It provides new vanishing theorems for unramified stable cohomology in finite groups of Lie type, a previously less understood area.
Findings
Proves vanishing of unramified stable cohomology for certain finite groups of Lie type
Advances theoretical understanding of cohomological behavior in algebraic groups
Establishes foundational results for future research in algebraic group cohomology
Abstract
We prove vanishing results for unramified stable cohomology of finite groups of Lie type.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Geometric and Algebraic Topology