A generalization of 2-Baer groups
Group Theory
2015-02-04 v3
Abstract
A group in which all cyclic subgroups are 2-subnormal is called a 2-Baer group. The topic of this paper are generalized 2-Baer groups, i.e. groups in which the non-2-subnormal cyclic subgroups generate a proper subgroup of the group. If this subgroup is non-trivial, the group is called a generalized T_2-group. In particular, we provide structure results for such groups, investigate their nilpotency class and construct examples of finite p-groups which are generalized T_2-groups.
Cite
@article{arxiv.1501.03090,
title = {A generalization of 2-Baer groups},
author = {L. -C. Kappe and A. Tortora},
journal= {arXiv preprint arXiv:1501.03090},
year = {2015}
}
Comments
submitted to an international journal