J. Bray

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math.GR2026

Black Box Recognition of the Suzuki groups

John N. Bray, Henrik BÃ¤Ã¤rnhielm

We present a black box algorithm that constructs standard generators for the Suzuki groups $S z (q)$ , where $q = 2^{2 m + 1}$ for some $m > 0$ . The algorithm is one-sided Monte Carlo, w…

math.GR2024

Octonions, Albert vectors and the group $E_{6} (F)$

John N. Bray, Yegor Stepanov, Robert A. Wilson

We present a uniform approach to the construction of the groups of type $E_{6}$ over arbitrary fields without using Lie theory. This gives a simple description of the group…

Black Box Recognition of the Suzuki groups

Octonions, Albert vectors and the group E6​(F)

Octonions, Albert vectors and the group $E_{6} (F)$