28 citations · 33 across the 5 of their papers we have counts for
5 papers
Octonions, Albert vectors and the group
John N. Bray, Yegor Stepanov, Robert A. Wilson
We extend the explicit octonionic approach to groups of type to the twisted groups associated with a quadratic Galois extension . The…
Black Box Recognition of the Suzuki groups
John N. Bray, Henrik Bäärnhielm
We present a black box algorithm that constructs standard generators for the Suzuki groups , where for some . The algorithm is one-sided Monte Carlo, w…
Octonions, Albert vectors and the group
John N. Bray, Yegor Stepanov, Robert A. Wilson
We present a uniform approach to the construction of the groups of type over arbitrary fields without using Lie theory. This gives a simple description of the group…
The Hall--Paige conjecture, and synchronization for affine and diagonal groups
John N. Bray, Qi Cai, Peter J. Cameron +2
The Hall--Paige conjecture asserts that a finite group has a complete mapping if and only if its Sylow subgroups are not cyclic. The conjecture is now proved, and one aim of this p…
A new method for recognising Suzuki groups
John N. Bray, Henrik Bäärnhielm
We present a new algorithm for constructive recognition of the Suzuki groups in their natural representations. The algorithm runs in Las Vegas polynomial time given a discrete loga…