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12.39 (1992)

Solved

(W. J. Shi). Must a finite group and a finite simple group be isomorphic if they have equal orders and the same set of orders of elements?

Contributor: A. S. Kondratiev

Progress

Yes, they must (M. C. Xu, W. J. Shi, Algebra Colloq., 10 (2003), 427–443; A. V. Vasil’ev, M. A. Grechkoseeva, V. D. Mazurov, Algebra Logic, 48 (2009), 385–409).

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