P. Rai

activity

20132017

p

-groups with abelian automorphism group

5 citations · 14 across the 5 of their papers we have counts for

collaborators

5 papers

math.RA2017★ 3 cited

On the dimension of the Schur multiplier of nilpotent Lie algberas

Pradeep K. Rai

We give a bound on the dimension of the Schur multiplier of a finite dimensional nilpotent Lie algebra which sharpens the earlier known bounds.

math.GR2017★ 4 cited

On the order of the Schur multiplier of $p$ -groups

Pradeep K. Rai

We give a bound on the order of the Schur multiplier of $p$ -groups refining earlier bounds. As an application we complete the classification of groups having Schur multiplier of ma…

math.GR2016

A note on the order of the Schur multiplier of p-groups

Pradeep K. Rai

Let $G$ be a finite $p$ -group of order $p^{n}$ with $∣ G^{'} ∣ = p^{k}$ . Let $M (G)$ denotes the Schur multiplier of $G$ . A classical result of Green states that $|M(G)| \leq p^{\frac{1}{2}n…

math.GR2014★ 2 cited

On $\CYRSH$-rigidity of groups of order $p^{6}$

Pradeep K. Rai, Manoj K. Yadav

Let $G$ be a group and $O u t_{c} (G)$ be the group of its class-preserving outer automorphisms. We compute $∣ O u t_{c} (G) ∣$ for all the group $G$ of order $p^{6}$ , where $p$ is an odd prime.…

math.GR2013★ 5 cited

On finite $p$ -groups with abelian automorphism group

Vivek K. Jain, Pradeep K. Rai, Manoj K. Yadav

We construct, for the first time, various types of specific non-special finite $p$ -groups having abelian automorphism group. More specifically, we construct groups $G$ with abelian…

On the dimension of the Schur multiplier of nilpotent Lie algberas

On the order of the Schur multiplier of p-groups

A note on the order of the Schur multiplier of p-groups

On $\CYRSH$-rigidity of groups of order p6

On finite p-groups with abelian automorphism group

On the order of the Schur multiplier of $p$ -groups

On $\CYRSH$-rigidity of groups of order $p^{6}$

On finite $p$ -groups with abelian automorphism group