John Mcleod

activity

20102026

most citedHyperbolic reflection groups associated to the quadratic forms

- 3 x_{0}^{2} + x_{1}^{2} + ... + x_{n}^{2}

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2026

Compact Hyperbolic Coxeter Six-dimensional Polytopes With Ten Facets

John Mcleod

We show that, up to isometry, there is exactly one compact hyperbolic Coxeter 6-polytope with 10 facets, the polytope $P_{6, 10}$ attributed to Bugaenko. Together with results of Fe…

math.GR2012

Reflective and quasi-reflective Bianchi groups

Mikhail Belolipetsky, John Mcleod

A discrete subgroup of the group of isometries of the hyperbolic space is called reflective if up to a finite index it is generated by reflections in hyperplanes. The main result o…

math.GR2010★ 1 cited

Hyperbolic reflection groups associated to the quadratic forms $- 3 x_{0}^{2} + x_{1}^{2} + ... + x_{n}^{2}$

John Mcleod

We determine the maximal hyperbolic reflection groups associated to the quadratic forms $- 3 x_{0}^{2} + x_{1}^{2} + ... + x_{n}^{2}$ , $n \geq 2$ , and present the Coxeter schemes of their fundame…

Compact Hyperbolic Coxeter Six-dimensional Polytopes With Ten Facets

Reflective and quasi-reflective Bianchi groups

Hyperbolic reflection groups associated to the quadratic forms −3x02​+x12​+...+xn2​

Hyperbolic reflection groups associated to the quadratic forms $- 3 x_{0}^{2} + x_{1}^{2} + ... + x_{n}^{2}$