3 citations · 5 across the 12 of their papers we have counts for
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Unipotence of a double commutator with transvections
Ihechukwu Chinyere
Let be a nonzero commutative ring with identity, , and . We prove that there exist nonidentity transvections such that $\big[[σ,τ_1],…
Solvable groups defined by redundant cyclic presentations
Ihechukwu Chinyere
We study the two-generator one-relator groups defined by , and determine exactly which of them fail to contain a free subgroup…
Groups with special presentations and star-graph
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 , we construct an -generator one-relat…
Proof of the Noferini-Williams conjecture for Gilbert-Howie groups
Ihechukwu Chinyere
The Gilbert-Howie groups form a notable subclass within the broader family of Fibonacci-type cyclically presented groups . Noferini and Williams conjectured that…
On the Classification of Perfect Prishchepov Groups
Layla Sorkatti, Ihechukwu Chinyere
The Prishchepov groups form a broad class of cyclically presented groups. We verify a conjectural characterisation of the perfect groups in this family. We first pro…
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…