Combinatorial Burnside groups
Yuri Tschinkel, Kaiqi Yang, Zhijia Zhang
TL;DR
This paper investigates the structure of combinatorial Burnside groups, which serve as invariants for finite group actions on algebraic varieties, providing insights into their equivariant birational properties.
Contribution
It introduces a new framework for understanding combinatorial Burnside groups as invariants in algebraic geometry.
Findings
Characterization of combinatorial Burnside groups
Connections to equivariant birational invariants
Structural properties of these groups
Abstract
We study the structure of combinatorial Burnside groups, which receive equivariant birational invariants of actions of finite groups on algebraic varieties.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Geometric and Algebraic Topology · Finite Group Theory Research