Hemant Kalra

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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

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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 the non-inner automorphism conjecture of finite $p$ -groups

Sandeep Singh, Hemant Kalra, Rohit Garg

A long-standing conjecture asserts that every finite non-abelian $p$ -group has a non-inner automorphism of order $p$ . In this paper, we settle the conjecture for a finite $p$ -group…

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…

Finite groups with specific number of cyclic subgroups

On the non-inner automorphism conjecture of finite p-groups

On automorphisms of finite p-groups

On the non-inner automorphism conjecture of finite $p$ -groups

On automorphisms of finite $p$ -groups