Re: presentation of 2.HJ

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#13

From: Werner Nickel
Date: Thu, 23 Jul 1992 06:29

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The following is a presentation for the double cover 2.HJ of HJ:

           < a, b, c, d, e | c = ab, d = ab^(-1)e, a^2 = e,
	                     b^3 = e, c^15,
		             (c^4d^2c^3d^3)^2 = e,
	                     (c^3d(c^2d^2)^2)^2 = e,
	                     [a,e], [b,e], [c,e], [d,e], e^2 >

Comparing this presentation with the ATLAS presentation for HJ shows
that HJ.2/<e> = HJ. By computing the largest abelian quotient one
shows that the group above is perfect. Therefore the group given by
the presentation above is the double cover of HJ.2.

Werner Nickel
Mathematics Research Section
Australian National University
Canberra

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From: werner@pell.anu.edu.au (Werner Nickel)
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Subject: Re: presentation of 2.HJ
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Date: 23 Jul 92 06:29:00 GMT
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