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16.79 (2006)

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Is it true that in any finitely generated $AT$-group over a sequence of cyclic groups of uniformly bounded orders all Sylow subgroups are locally finite? For the definition of an $AT$-group see (A. V. Rozhkov, Math. Notes, 40 (1986), 827–836)

Contributor: A. V. Rozhkov

Progress

No, it is not true (A. V. Rozhkov, in Group theory and its applications, Proc. XXII School-Conf. on Group Theory, Kuban' Univ., Krasnodar, 2018, 126–131 (Russian)).

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