Deepak Gumber

collaborators

3 papers

math.GR2015

Isomorphism between automorphism groups of finitely generated groups

Sandeep Singh, Deepak Gumber

Let $G$ be a finitely generated group and let $C^{*}$ denote the group of all central automorphisms of $G$ fixing the center of $G$ elementwise. Azhdari and Malayeri [J. Algebra Appl…

math.GR2014

Class-preserving automorphisms of some finite $p$ -groups

Mahak Sharma, Deepak Gumber

Let $G$ be a finite $p$ -group of order $p^{5}$ , where $p$ is a prime. We give necessary and sufficient conditions on $G$ such that $G$ has a non-inner class-preserving automorphism.…

math.GR2014

The conjugacy class number k(G) - a different perspective

Deepak Gumber, Hemant Kalra

Let $G$ be a finite group. Let $k (G)$ denote the number of conjugacy classes of $G$ and let $m (G)$ denote the least positive integer $n$ such that the union of any $n$ distinct non…

Isomorphism between automorphism groups of finitely generated groups

Class-preserving automorphisms of some finite p-groups

The conjugacy class number k(G) - a different perspective

Class-preserving automorphisms of some finite $p$ -groups