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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)

- Hans Ulrich Besche, Bettina Eick, Eamonn A. O'Brien
- IJAC
- 2002

- Dane L. Flannery, Eamonn A. O'Brien
- IJAC
- 2005

- Mike F. Newman, Eamonn A. O'Brien
- IJAC
- 1996

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)

- Henrik Bäärnhielm, Derek F. Holt, Charles R. Leedham-Green, Eamonn A. O'Brien
- J. Symb. Comput.
- 2015

- Eamonn A. O'Brien, Michael R. Vaughan-Lee
- IJAC
- 2002

- E A O'Brien, W Willems
- IEEE Transactions on Information Theory
- 2011

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>.

- George Havas, Mike F. Newman, Eamonn A. O'Brien
- Geometric and Computational Perspectives on…
- 1994