Article ID Journal Published Year Pages File Type
4587861 Journal of Algebra 2008 11 Pages PDF
Abstract

If the quotient group of a group G modulo its hypercenter is a T-group, we call G a T1-group. We classify all finite groups which are not T1-groups but all their proper subgroups are, and compare this with the situation for supersolvable groups, T-groups, and PST-groups.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory