On the structure of some contranormal-free groups

Abstract

A subgroup H of a group G is contranormal if HG=G. In finite groups, if there are no proper contranormal subgroups, then the group is nilpotent but this is not true in infinite groups as the well-known Heineken–Mohamed groups show. We call such groups without proper contranormal subgroups “contranormal-free.” In this article, we prove various results concerning contranormal-free groups proving, for example that locally generalized radical contranormal-free groups which have finite section rank are hypercentral.

Locations

• arXiv (Cornell University) - View - PDF
• Communications in Algebra - View