Fundamental relation and automorphism group of very thin Hv-groups. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: Hamidi, M.; Ashrafi, A. R.
• Is Part Of: Communications in algebra. Volume 45:Issue 1(2017)
• Page Start: 130
• Page End: 140
• Publication Date: 2017-01-02
• Subjects: Automorphism group -- fundamental relation -- Hv-groups; 20N20; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2016.1175458
• Languages: English
• ISSNs: 0092-7872

Abstract

ABSTRACT: The purpose of this paper is computing the fundamental relations and automorphism groups of very thin H v -groups. In this regards, we first investigate some basic properties of H v -groups and then we show that any given group is isomorphic to the fundamental group of a nontrivial H v -group. The main properties of very thin H v -groups are also investigated and it is proved that every finite very thin H v -group is proper.