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Groups G2(p) as quotients of (2,3,7;2p)

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Abstract

It is proved that for any prime \(p\geqslant 5\) the group \(G_2(p)\) is a quotient of \((2,3,7;2p) = \langle X,Y: X^2=Y^3=(XY)^7 =[X,Y]^{2p}=1 \rangle.\)

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  1. Steklov Institute of Mathematics, Fontanka 27, St. Petersburg 191023, Russia and Sidney Sussex College, Sidney Street, Cambridge, CB2 3HU, UK

    M. Vsemirnov

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  1. M. Vsemirnov
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Correspondence to M. Vsemirnov.

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Vsemirnov, M. Groups G2(p) as quotients of (2,3,7;2p). Transformation Groups 11, 295–304 (2006). https://doi.org/10.1007/s00031-004-1113-y

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  • DOI: https://doi.org/10.1007/s00031-004-1113-y

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