This article is cited in 1 paper

The normalizer condition

S. N. Chernikov

Mathematics Institute, Academy of Sciences of the Ukrainian SSR

Abstract: It is proved that a torsion-free group $\mathfrak G$, in which every infinite proper subgroup is distinct from its normalizer satisfies the normalizer condition, i.e., every proper subgroup is distinct from its normalizer.

UDC: 512.4

Received: 12.09.1967

 English version: Mathematical Notes, 1968, 3:1, 28–30

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