I have the book "Handbook of Computational Group Theory", by Derek Holt, and in it is a section on finding the transversal of a subgroup. Recall a transversal. In mathematics, computational group theory is the study of groups by means of Bettina Eick, Eamonn A. O'Brien, "Handbook of computational group theory". the fields of combinatorics and group theory… (More)
We show how automorphisms can be used to reduce signiicantly the resources needed to enforce laws in p-groups. This increases the extent to which Burnside groups with prime-power exponent can be studied in detail. For example, we describe how to construct power-conjugate presentations for the restricted Burnside groups R(5; 4) and R(3; 5) which have orders… (More)
As a contribution to the project for recognising matrix groups deened over nite elds, we describe an algorithm for deciding whether or not the natural module for such a matrix group can be decomposed into a non-trivial tensor product. In the aarmative case, a tensor decomposition is returned. As one component, we develop algorithms to compute p-local… (More)
We prove that the automorphism group of a binary self-dual doubly even [72, 36, 16] code has order 5, 7, 10, 14 or <i>d</i> where <i>d</i> divides 18 or 24, or it is <i>A</i><sub>4</sub> × <i>C</i><sub>3</sub>.