Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6414611 | Journal of Algebra | 2014 | 14 Pages |
Abstract
A group is metahamiltonian if all its non-abelian subgroups are normal. It is proved here that a (generalized) soluble group of infinite rank is metahamiltonian if and only if all its subgroups of infinite rank are either abelian or normal.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. De Falco, F. de Giovanni, C. Musella, Y.P. Sysak,