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math.GR2015
The power conjugacy problem in Higman-Thompson groups
Nathan Barker, Andrew J. Duncan, David M. Robertson
An introduction to the universal algebra approach to Higman-Thompson groups (including Thompson's group ) is given, following a series of lectures by Graham Higman in 1973. In t…
math.GR2011
A Note on Beauville p-Groups
Nathan Barker, Nigel Boston, Ben Fairbairn
We examine which -groups of order are Beauville. We completely classify them for groups of order . We also show that the proportion of 2-generated groups of o…
math.GR2011★ 6 cited
Regular algebraic surfaces isogenous to a higher product constructed from group representations using projective planes
Nathan Barker, Nigel Boston, Norbert Peyerimhoff +1
Regular algebraic surfaces isogenous to a higher product of curves can be obtained from finite groups with ramification structures. We find unmixed ramification structures for fini…