A generalization of 2-Baer groups

L. -C. Kappe; A. Tortora

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arXiv · 1501.03090

A generalization of 2-Baer groups

L. -C. Kappe·A. Tortora

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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.

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L. -C. Kappe, A. Tortora. 2015-01-13. A generalization of 2-Baer groups. https://arxiv.org/abs/1501.03090

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