D. Gumber

activity

20112018

most citedFinite p-groups with central automorphism group of minimal order

7 citations · 8 across the 12 of their papers we have counts for

collaborators

13 papers

math.GR2018

On automorphisms of finite $p$ -groups

Hemant Kalra, Deepak Gumber

It is proved in [J. Group Theory, {\bf 10} (2007), 859-866] that if $G$ is a finite $p$ -group such that $(G, Z (G))$ is a Camina pair, then $∣ G ∣$ divides $|\Aut(G)|$. We give a very…

math.GR2015

A note on commuting automorphisms of some finite $p$ -groups

Sandeep Singh, Deepak Gumber

An automorphism $α$ of a group $G$ is called a commuting automorphism if each element $x$ in $G$ commutes with its image $α (x)$ under $α$ . Let $A (G)$ denote the set of all commutin…

math.GR2015

Finite $p$ -groups with minimum number of central automorphisms fixing the center element-wise

Deepak Gumber, Mahak Sharma

We characterize finite $p$ -groups $G$ of order up to $p^{7}$ for which the group of central automorphisms fixing the center element-wise is of minimum possibe order.

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

Equality of certain automorphism groups of finite $p$ -groups

Deepak Gumber, Hemant Kalra

Let $G$ be a finite $p$ -group and let Aut $(G)$ denote the full automorphism group of $G$ . In the recent past, there has been interest in finding necessary and sufficient conditions…

On automorphisms of finite p-groups

A note on commuting automorphisms of some finite p-groups

Finite p-groups with minimum number of central automorphisms fixing the center element-wise

Isomorphism between automorphism groups of finitely generated groups

Class-preserving automorphisms of some finite p-groups

Equality of certain automorphism groups of finite p-groups

On automorphisms of finite $p$ -groups

A note on commuting automorphisms of some finite $p$ -groups

Finite $p$ -groups with minimum number of central automorphisms fixing the center element-wise

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

Equality of certain automorphism groups of finite $p$ -groups