Steklov Institute of Mathematics at St.Petersburg

PREPRINT 17/2004

GROUPS G_2(p) AS QUOTIENTS OF (2,3,7;2p)

This preprint was accepted November 10, 2004

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