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math.GR2026
Topological perspectives on the vanishing of some Bogomolov multipliers
Eric Samperton, Carlos Segovia
Since the 1980s, the Bogomolov multiplier of a finite group has been known to obstruct rationality in complex algebraic geometry, and more recently it is understood to be responsib…
math.GR2026
Obstruction theory and the complexity of counting group homomorphisms
Eric Samperton, Armin Weiß
Fix a finite group . We study the computational complexity of counting problems of the following flavor: given a group , count the number of homomorphisms . Our first…
math.GR2015★ 20 cited
Spaces of invariant circular orders of groups
Hyungryul Baik, Eric Samperton
Motivated by well known results in low-dimensional topology, we introduce and study a topology on the set CO(G) of all left-invariant circular orders on a fixed countable and discr…