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math.GR2023★ 1 cited
Non-trivial units of complex group rings
Giles Gardam
The Kaplansky unit conjecture for group rings is false in characteristic zero.
math.GR2023
Graphs and groups with unique geodesics
Murray Elder, Giles Gardam, Adam Piggott +2
A connected graph is called \emph{geodetic} if there is a unique geodesic between each pair of vertices. In this paper we prove that if a finitely generated group admits a Cayley g…