• R P Shukla

Articles written in Proceedings – Mathematical Sciences

• Transversals in non-discrete groups

The concept of ‘topological right transversal’ is introduced to study right transversals in topological groups. Given any right quasigroupS with a Tychonoff topologyT, it is proved that there exists a Hausdorff topological group in whichS can be embedded algebraically and topologically as a right transversal of a subgroup (not necessarily closed). It is also proved that if a topological right transversal(S, TS,TS, o) is such thatTS =TS is a locally compact Hausdorff topology onS, thenS can be embedded as a right transversal of a closed subgroup in a Hausdorff topological group which is universal in some sense.

• Structure of a Code Related to $Sp(4,q),q$ even

We determine the socle and the radical series of the binary code associated with a finite regular generalized quadrangle of even order, considered as a module for the commutator of each of the orthogonal subgroups in the corresponding symplectic group.

• On the Number of Isomorphism Classes of Transversals

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 four.

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019