Journal of Advances in Mathematics and Computer Science

Smooth Groups with Totally Contranormal Subgroups

A. M. Elkholy *

Department of Mathematics, Faculty of Science, Beni Suef University, Beni-Suef 62511, Egypt.

*Author to whom correspondence should be addressed.

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Abstract

A contranormal subgroup is a subgroup whose normal closure in the group is the whole group. Hence a subgroup H of a group G is said to be totally contranormal if H^K = K for each subgroup K of G. The purpose of this article is to study the influence of contranormal (totally contranormal) subgroup on groups whose maximal subgroups are smooth groups.

Keywords: Contranormal subgroup, smooth groups, subgroup lattices.

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