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arXiv · 1109.0754

Groups of Order 2048 with Three Generators and Three Relations

Shirin Fouladi·Reza Orfi
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Abstract

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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Shirin Fouladi, Reza Orfi. 2011-09-04. Groups of Order 2048 with Three Generators and Three Relations. https://arxiv.org/abs/1109.0754

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