Ihechukwu Chinyere

collaborators

5 papers

math.GR2026

Groups with special presentations and star-graph $K_{3, 3}$

Bridgette Amoako, Ihechukwu Chinyere, Bernard Bainson

We consider a question of Edjvet and Vdovina concerning which groups defined by special presentations are large. For each integer $n \geq 3$ , we construct an $n$ -generator one-relat…

math.GR2026

On the Classification of Perfect Prishchepov Groups

Layla Sorkatti, Ihechukwu Chinyere

The Prishchepov groups $P (r, n, k, s, q)$ form a broad class of cyclically presented groups. We verify a conjectural characterisation of the perfect groups in this family. We first pro…

math.GR2026

Proof of the Noferini-Williams conjecture for Gilbert-Howie groups

Ihechukwu Chinyere

The Gilbert-Howie groups $H (n, m)$ form a notable subclass within the broader family of Fibonacci-type cyclically presented groups $G_{n} (m, k)$ . Noferini and Williams conjectured that…

math.GR2026

On the non-existence of finite groups with certain normal subgroups

Ihechukwu Chinyere

Problem 20.21 of Mazurov and Khukhro (Unsolved Problems in Group Theory: The Kourovka Notebook, 20th Issue, 2022), contributed by M.~Conder and attributed to G.~Verret, asks whethe…

math.GR2025

All hyperbolic cyclically presented groups with positive length three relators

Ihechukwu Chinyere, Martin Edjvet, Gerald Williams

We consider the cyclically presented groups defined by cyclic presentations with $2 m$ generators $x_{i}$ whose relators are the $2 m$ positive length three relators $x_ix_{i+1}x_{i+m-…

Groups with special presentations and star-graph K3,3​

On the Classification of Perfect Prishchepov Groups

Proof of the Noferini-Williams conjecture for Gilbert-Howie groups

On the non-existence of finite groups with certain normal subgroups

All hyperbolic cyclically presented groups with positive length three relators

Groups with special presentations and star-graph $K_{3, 3}$