2017
Том 69
№ 9

All Issues

Groups all of whose infinite abelian pd-subgroups are normal

Liman F. N.

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Abstract

The author studies groups in which any infinite Abelian pd-subgroup (p is a prime) is normal, on the assumption that the group indeed contains such subgroups (IHp-groups). Necessary and sufficient conditions are established for a group to be an IHp-group. Relationships are established between the class of IHp-groups and the class of groups in which all infinite Abelian subgroups are normal, and the class of groups in which all pd-subgroups are normal.

English version (Springer): Ukrainian Mathematical Journal 44 (1992), no. 6, pp 718-721.

Citation Example: Liman F. N. Groups all of whose infinite abelian pd-subgroups are normal // Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 796–800.

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