cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A003939 Order of simple Chevalley group B_3(q), q = prime power.

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%I A003939 #19 Jun 23 2025 02:46:26
%S A003939 1451520,4585351680,4106059776000,228501000000000,273457218604953600,
%T A003939 9077005607176765440,54025731402499584000,3669292720793456064000,
%U A003939 122796979335906113871360,19266960106724096212992000
%N A003939 Order of simple Chevalley group B_3(q), q = prime power.
%D A003939 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 A003939 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 A003939 <a href="/index/Gre#groups">Index entries for sequences related to groups</a>.
%F A003939 a(n) = b(A000961(n + 1), 3) where b(q,n) is defined in A003927. - _Sean A. Irvine_, Sep 22 2015
%t A003939 b[q_, n_] := q^(n^2) * Product[q^(2*k) - 1, {k, 1, n}] / GCD[2, q-1]; Table[b[q, 3], {q, Select[Range[30], PrimePowerQ]}] (* _Amiram Eldar_, Jun 23 2025 *)
%Y A003939 Cf. A000961, A003927, A003938, A003940, A003941, A003942.
%K A003939 nonn,easy
%O A003939 1,1
%A A003939 _N. J. A. Sloane_