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20112018
most citedAutomorphisms of groups and converse of Schur's theorem

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.GR2018

Finite groups with specific number of cyclic subgroups

Hemant Kalra

In this note, we classify all finite groups having exactly 6, 7 or 8 cyclic subgroups. This gives a partial answer to the open problem posed by Tarnauceanu (Amer. Math. Monthly, 12…

math.GR2018

On automorphisms of finite -groups

Hemant Kalra, Deepak Gumber

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

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.