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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…