Nathan Barker

activity

20112015

most citedRegular algebraic surfaces isogenous to a higher product constructed from group representations using projective planes

6 citations · 8 across the 4 of their papers we have counts for

collaborators

4 papers

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 $V$ ) is given, following a series of lectures by Graham Higman in 1973. In t…

math.AG2013★ 2 cited

An infinite family of 2-groups with mixed Beauville structures

Nathan Barker, Nigel Boston, Norbert Peyerimhoff +1

We construct an infinite family of triples $(G_{k}, H_{k}, T_{k})$ , where $G_{k}$ are 2-groups of increasing order, $H_{k}$ are index-2 subgroups of $G_{k}$ , and $T_{k}$ are pairs of generators of…

math.GR2011

A Note on Beauville p-Groups

Nathan Barker, Nigel Boston, Ben Fairbairn

We examine which $p$ -groups of order $\leq p^{6}$ are Beauville. We completely classify them for groups of order $\leq p^{4}$ . 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…