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On the finite images of finitely generated perfect groups

Abstract:
Let d≥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.
Publication status:
Published
Peer review status:
Not peer reviewed

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Publisher copy:
10.48550/arXiv.2309.16252

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
University College
Role:
Author
ORCID:
0000-0003-1661-5467


Publication date:
2023-09-28
DOI:


Language:
English
Pubs id:
1546607
Local pid:
pubs:1546607
Deposit date:
2024-01-05

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