[GAP Forum] The exceptional group G_2(3)

[Bailey, Robert F.]

Dear William,

G_2(3) has a primitive permutation representation on 378 points, so is in GAP's library of primitive groups.  The command

gap> PrimitiveGroup(378,7);

appears to identify it (i.e. it's the 7th primitive group of degree 378 in GAP's list).  Note that newer releases of GAP may require you to load the group libraries separately:

gap> LoadPackage("PrimGrp");

should do this.

If you are looking for matrix representations in GAP format, they can be found in the www ATLAS: http://brauer.maths.qmul.ac.uk/Atlas/v3/exc/G23/

Best wishes,
Robert Bailey.

==============================
Dr. Robert Bailey
School of Science and the Environment (Mathematics)
Grenfell Campus
Memorial University of Newfoundland
Corner Brook, NL A2H 6P9, Canada

Office: AS 3022
Phone: +1 (709) 637-6293
Web: http://www2.grenfell.mun.ca/rbailey/

-----Original Message-----
From: William Giuliano [mailto:williamgiuliano00 at gmail.com]
Sent: June-21-18 2:24 PM
To: Forum at gap-system.org
Subject: [GAP Forum] The exceptional group G_2(3)

Dear forum,
                    is there an easy way to construct the exceptional group
G_2(3) in GAP?

Thank you very much
William
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