2017
Том 69
№ 9

All Issues

On topological groups with weak minimality (maximality) condition for noncompact subgroups

Poletskikh V. M., Shestakov S. S.

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Abstract

We present the structure of a locally compact solvablep-group satisfying the weak minimality (maximality) condition for noncompact subgroups. As a consequence, we obtain the structure of a locally compact prosolvablep-group satisfying the minimality (maximality) condition for noncompact sub-groups. We also construct an example to demonstrate that these results are not true for arbitrary inductively compact locally compact totally disconnected solvable groups.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 10, pp 1540-1544.

Citation Example: Poletskikh V. M., Shestakov S. S. On topological groups with weak minimality (maximality) condition for noncompact subgroups // Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1393–1398.

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