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Order of universal Chevalley group B_3(q), q = prime power.
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%I #20 Jun 14 2024 22:31:09

%S 1451520,9170703360,4106059776000,457002000000000,546914437209907200,

%T 9077005607176765440,108051462804999168000,7338585441586912128000,

%U 245593958671812227742720,19266960106724096212992000,68852034247000426560552960,712225595693024258315904000

%N Order of universal Chevalley group B_3(q), q = prime power.

%D J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985 [for best online version see https://oeis.org/wiki/Welcome#Links_to_Other_Sites], p. xvi.

%D H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.

%H Robin Visser, <a href="/A003932/b003932.txt">Table of n, a(n) for n = 1..10000</a>

%F a(n) = B(A000961(n + 1), 3) where B(q,n) is defined in A003920. - _Sean A. Irvine_, Sep 22 2015

%o (Magma) [#SymplecticGroup(6, q) : q in [2..50] | IsPrimePower(q)]; // _Robin Visser_, Aug 07 2023

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_

%E More terms from _Robin Visser_, Aug 07 2023