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20.77 (2022)

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(O. I. Tavgen’). A group is said to be boundedly generated if it is a product of finitely many cyclic groups. Is it true that every boundedly generated residually finite group is linear over a field of characteristic zero?

This is true for residually finite-soluble groups (L. Pyber, D. Segal, J. Reine Angew. Math., 612 (2007), 173–211).

Contributor: L. Pyber

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