On the theory of groups with generalized minimality condition for closed subgroups

  • V. S. Charin

Abstract

We prove that a topological Abelian locally compact group with generalized minimality condition for closed subgroups is a group of one of the following types: 1) a group with minimality condition for closed subgroups, 2) an additive group of theJ p -ring of integerp-adic numbers, 3) an additive groupR p of the field ofp-adic numbers (p is a prime number).
Published
25.03.1999
How to Cite
CharinV. S. “On the Theory of Groups With Generalized Minimality Condition for Closed Subgroups”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 51, no. 3, Mar. 1999, pp. 398–409, https://umj.imath.kiev.ua/index.php/umj/article/view/4623.
Section
Research articles