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arXiv · 2309.16252

On the finite images of finitely generated perfect groups

Nikolay Nikolov
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Abstract

Let $d \geq 2$ be an integer. We conjecture that there is a finitely generated perfect group whose homomorphic images include all finite $d$-generated perfect groups. We prove a special case of this conjecture for the finite perfect groups with a subnormal series of bounded length and factors which are abelian or semisimple.

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Nikolay Nikolov. 2023-09-28. On the finite images of finitely generated perfect groups. https://arxiv.org/abs/2309.16252

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