Abstract
Suppose ,
, and there is one prime
above 2 in Fn. We study amalgam presentations for
and
with the Clifford-cyclotomic group in quantum computing as a subgroup. These amalgams arise from an action of these groups on the Bruhat-Tits tree
for
constructed via the Hamilton quaternions. We explicitly compute the finite quotient graphs and the resulting amalgams for
, as well as for
.
2010 Mathematics Subject Classification.: