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12.84 (1992)

Solved

(Well-known problem). Is it true that if there exist two non-isomorphic groups with the given set of orders of the elements, then there are infinitely many groups with this set of orders of the elements?

Contributor: S. A. Syskin

Progress

No, it is not (V. D. Mazurov, Algebra and Logic, 33, no. 1 (1994), 49–55).

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