R. P. Shukla

activity

20052018

most citedSome Characterizations of a Normal Subgroup of a Group

2 citations · 3 across the 9 of their papers we have counts for

collaborators

Showing 2012Show all

3 papers · 1 filter

math.GR2012

Isotopic classes of Transversals

Vipul Kakkar, R. P. Shukla

Let $G$ be a finite group and $H$ be a subgroup of $G$ . In this paper, we prove that if $G$ is a finite nilpotent group and $H$ a subgroup of $G$ , then $H$ is normal in $G$ if and…

math.GR2012

On the Number of Isomorphism Classes of Transversals

Vipul Kakkar, R. P. Shukla

In this paper we prove that there does not exist a subgroup $H$ of a finite group $G$ such that the number of isomorphism classes of normalized right transversals of $H$ in $G$ is…

math.GR2012★ 2 cited

Some Characterizations of a Normal Subgroup of a Group

Vipul Kakkar, R. P. Shukla

Let G be a group and H be a subgroup of G which is either finite or of finite index in G. In this note, we give some characterizations for normality of H in G. As a consequence we…