Forum Problem Lists Definitions FAQ

1.49 (1965)

Solved

Is it possible to order an abelian strictly isolated normal subgroup of an $S$-group (see 1.47 for the definitions) in such a way that the order is preserved under the action of the inner automorphisms of the whole group?

Contributor: A. I. Kokorin

Progress

Not always (V. V. Bludov, Algebra and Logic, 11 (1972), 341–349).

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