D. Gumber

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20112018

most citedAutomorphisms of groups and converse of Schur's theorem

1 citations · 1 across the 4 of their papers we have counts for

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5 papers · 1 filter

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.GR2013★ 1 cited

Automorphisms of groups and converse of Schur's theorem

Deepak Gumber, Hemant Kalra, Sandeep Singh

An automorphism of a group G is called an IA-automorphism if it induces the identity automorphism on the abelianized group G/G'. Let IA(G) denote the group of all IA-automorphisms…

math.GR2011

On class preserving automorphisms of groups of order 32

Deepak Gumber, Hemant Kalra

We study class preserving automorphisms of groups of order thirty two and prove that only two groups have non-inner class preserving automorphisms.

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

Automorphisms of groups and converse of Schur's theorem

On class preserving automorphisms of groups of order 32

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