Current Search: Magar, Krishna Thapa (x)


Title

Defeating pattack in nonabelian discrete logarithm problem.

Creator

Magar, Krishna Thapa, Ilic, Ivana, Magliveras, Spyros S., Graduate College

Date Issued

20130412

PURL

http://purl.flvc.org/fcla/dt/3361325

Subject Headings

NonAbelian groups, Logarithms

Format

Document (PDF)


Title

Low rank transitive representations, primitive extensions, and the collision problem in PSL (2, q).

Creator

Thapa Magar, Krishna B., Magliveras, Spyros S., Florida Atlantic University, Charles E. Schmidt College of Science, Department of Mathematical Sciences

Abstract/Description

Every transitive permutation representation of a finite group is the representation of the group in its action on the cosets of a particular subgroup of the group. The group has a certain rank for each of these representations. We first find almost all rank3 and rank4 transitive representations of the projective special linear group P SL(2, q) where q = pm and p is an odd prime. We also determine the rank of P SL (2, p) in terms of p on the cosets of particular given subgroups. We then...
Show moreEvery transitive permutation representation of a finite group is the representation of the group in its action on the cosets of a particular subgroup of the group. The group has a certain rank for each of these representations. We first find almost all rank3 and rank4 transitive representations of the projective special linear group P SL(2, q) where q = pm and p is an odd prime. We also determine the rank of P SL (2, p) in terms of p on the cosets of particular given subgroups. We then investigate the construction of rank3 transitive and primitive extensions of a simple group, such that the extension group formed is also simple. In the latter context we present a new, group theoretic construction of the famous HoffmanSingleton graph as a rank3 graph.
Show less

Date Issued

2015

PURL

http://purl.flvc.org/fau/fd/FA00004471, http://purl.flvc.org/fau/fd/FA00004471

Subject Headings

Combinatorial designs and configurations, Cryptography, Data encryption (Computer science), Finite geometries, Finite groups, Group theory, Permutation groups

Format

Document (PDF)