3 papers
math.CO2026
Structure of Cayley Codes
Vishnuram Arumugam, Cheryl E. Praeger, Daniel Rademacher
Cayley codes, introduced by Kaufman and Wigderson, are linear codes constructed from a Cayley graph and a smaller linear code. We explore general properties of the class of Cayley…
math.GR2024
Low rank groups of Lie type acting point and line-primitively on finite generalised quadrangles
Vishnuram Arumugam, John Bamberg, Michael Giudici
Suppose we have a finite thick generalised quadrangle whose automorphism group acts primitively on both the set of points and the set of lines. Then must be almost simple.…
math.GR2022
Derangements in wreath products of permutation groups
Vishnuram Arumugam, Heiko Dietrich, S. P. Glasby
Given a finite group acting on a set let denote the proportion of elements in that have exactly fixed points in . Let denote the symmet…