activity
20132020
most citedFinite presentability of Kac-Moody groups over finite fields

2 citations · 2 across the 1 of their papers we have counts for

collaborators

3 papers

math.CO2020

Relator Games on Groups

Zachary Gates, Robert Kelvey

We define two impartial games, the Relator Achievement Game and the Relator Avoidance Game . Given a finite group and generating set , both game…

math.GR2019★ 2 cited

Finite presentability of Kac-Moody groups over finite fields

Peter Abramenko, Zachary Gates

Let be a Kac-Moody group functor in the sense of Tits, with associated Coxeter system . For any field , the group is finitely generated iff…

math.GR2013

Strongly real classes in finite unitary groups of odd characteristic

Zachary Gates, Anupam Singh, C. Ryan Vinroot

We classify all strongly real conjugacy classes of the finite unitary group $\U(n, F_q)$ when is odd. In particular, we show that $g \in \U(n, F_q)$ is strongly real if and onl…