z-Classes in groups

• DOI: 10.1142/s0219498816501310
• Publication Date: 2015-08-12T03:11:02Z
• Authors: Ravindra Kulkarni; Rahul Dattatraya ...; Vikas S. Jadhav
• Keywords: 0101 mathematics; 01 natural sciences

For a group [Formula: see text], we say that text] are in the same text]-class if their centralizers conjugate. The notion of has origin connection between geometry and groups. However, as is purely theoretic, this paper, focus our attention on influence text]-classes structure group. number invariant for family isoclinic We obtain bounds certain families A non-abelian finite text]-group contains at least text]-classes. Moreover, characterize text]-groups with text]-classes; these precisely, up to isoclinism, maximal class an abelian subgroup index text].