Groups of Order 2048 with Three Generators and Three Relations

Details Groups of Order 2048 with Three Generators and Three Relations Groups of Order 2048 with Three Generators and Three Relations

2011-09-04

arxiv.org/abs/1109.0754v3

Mathematics

Group Theory

Scientific paper

It is shown that there are exactly seventy-eight 3-generator 2- groups of
order 2^11 with trivial Schur multiplier. We then give 3-generator, 3-relation
presentations for forty-eight of them proving that these groups have deficiency
zero.

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