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arXiv · 2602.07346

On the Classification of Perfect Prishchepov Groups

Layla Sorkatti·Ihechukwu Chinyere
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Abstract

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 prove the conjecture for the case $\gcd(n,6)=1$ and then establish further cases beyond this coprimality condition. Consequently, we obtain a classification of perfect Prishchepov groups in a broad range of parameters.

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Layla Sorkatti, Ihechukwu Chinyere. 2026-02-07. On the Classification of Perfect Prishchepov Groups. https://arxiv.org/abs/2602.07346

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