2 citations · 3 across the 9 of their papers we have counts for
9 papers
Isotopic classes of transversals in Dihedral group , odd
Surendra Kumar Mishra, R. P. Shukla
In this article we determine the number of isotopic classes of transversals of a subgroup of order 2 in ( is a positive odd integer greater than 1), where isotopism cl…
Ovoidal fibrations in even
N. S. Narasimha Sastry, R. P. Shukla
We prove that, given a partition of the point-set of , by ovoids of and a line of , not tangent to if $\ell^\pe…
On the Congruences in Right Loops
Vipul Kakkar, R. P. Shukla
In case the stability relation is a congruence, a necessary and also a sufficient condition for its equality with the center congruence is given.
Isotopic classes of Transversals
Vipul Kakkar, R. P. Shukla
Let be a finite group and be a subgroup of . In this paper, we prove that if is a finite nilpotent group and a subgroup of , then is normal in if and…
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 of a finite group such that the number of isomorphism classes of normalized right transversals of in is…
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…