Giles Gardam

activity

20172023

most citedA counterexample to the unit conjecture for group rings

36 citations · 50 across the 10 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

math.GR2017★ 6 cited

The geometry of one-relator groups satisfying a polynomial isoperimetric inequality

Giles Gardam, Daniel J. Woodhouse

For every pair of positive integers $p > q$ we construct a one-relator group $R_{p, q}$ whose Dehn function is $≃ n^{2 α}$ where $α = lo g_{2} (2 p / q)$ . The group $R_{p, q}$ has no…

math.GR2017★ 1 cited

Detecting laws in power subgroups

Giles Gardam

A group law is said to be detectable in power subgroups if, for all coprime $m$ and $n$ , a group $G$ satisfies the law if and only if the power subgroups $G^{m}$ and $G^{n}$ both satis…

math.GR2017★ 1 cited

Finite groups of arbitrary deficiency

Giles Gardam

The deficiency of a group is the maximum over all presentations for that group of the number of generators minus the number of relators. Every finite group has non-positive deficie…