> < ^ Date: Mon, 08 Jan 1996 10:43:00 +0100 (MET)
> < ^ From: Eamonn O'Brien <obrien@math.auckland.ac.nz >
< ^ Subject: Group tables by Thomas and Wood

Erhard Aichinger asks

I am using
TwoGroup (32, 6)
to get the 6th group of order 32. Do you
know whether the numbering of groups in the twogroup-package is
identical to the numbering in the book
Thomas, A.D., and Wood G.V., Group Tables, Shiva Publishing Ltd. ?

In short, there is *no* connection at all between the
numbering employed in the TwoGroups library and that
of Thomas and Wood. If you want information on the
numbering scheme used (and its basis), then look at the
references listed in the GAP manual for the library.

However, if you type in a Thomas and Wood presentation,
then the GAP function 'GroupId' would allow you
to find its number in the TwoGroups library.
>From the GAP manual:

For certain small groups 'GroupId' returns a record which will
identify the isomorphism type of <G> with respect to certain

For p-groups, 'GroupId' uses the p-group isomorphism and standard
presentation function supplied via the package 'anupq'.

Eamonn O'Brien

Lehrstuhl D fuer Mathematik, RWTH; E-mail: obrien@math.rwth-aachen.de

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