A. Skutin

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20172026

most citedSome new theorems in plane geometry

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

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math.GR2026

On the class-breadth conjecture for $p > 2$ -groups

Alexander Skutin

The class-breadth conjecture of Leedham-Green, Neumann and Wiegold states that the nilpotency class of any $p$ -group is at most $b (G) + 1$ , where $\displaystyle{b(G) = \max_{g\in G…

math.GR2025

On the class-breadth conjecture

Alexander Skutin

The class-breadth conjecture of Leedham-Green, Neumann and Wiegold states that for each $p$ -group, $c l (G) \leq b (G) + 1$ , where $c l (G)$ , $b (G)$ denote the nilpotency class and the b…

math.GR2018

Proof of a Conjecture of Wiegold

Alexander Skutin

In this short note we confirm a conjecture of James Wiegold. We prove that if $G$ is a finite $p$ -group and $∣ G^{'} ∣ > p^{n (n - 1) /2}$ for some non-negative integer $n$ , then the group $G…

On the class-breadth conjecture for p>2 -groups

On the class-breadth conjecture

Proof of a Conjecture of Wiegold

On the class-breadth conjecture for $p > 2$ -groups