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A003810
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Order of simple Chevalley group A_5(q), q = prime power.
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0
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20158709760, 21032402889738240, 361310134959341568000, 1383059427750000000000000, 61637759336805268655956377600, 39841906041871272087686291128320, 1234219157861100568481165377536000, 1392357762553459444742198951136000000, 161092184393918097496815608751014338560
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OFFSET
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1,1
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REFERENCES
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J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, ATLAS of Finite Groups. Oxford Univ. Press, 1985, p. xvi.
H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
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LINKS
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FORMULA
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MATHEMATICA
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f[m_, n_] := Block[{g, x, y}, g[x_, y_] := x^(y (y + 1)/2) Product[x^k - 1, {k, 2, y + 1}]; g[m, n]/GCD[n + 1, m - 1]]; f[#, 5] & /@ Select[Range[2, 13], PrimePowerQ] (* Michael De Vlieger, Sep 18 2015 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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