Groups of Order 2048 with Three Generators and Three Relations
Group Theory
2011-11-18 v3
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.
Cite
@article{arxiv.1109.0754,
title = {Groups of Order 2048 with Three Generators and Three Relations},
author = {Shirin Fouladi and Reza Orfi},
journal= {arXiv preprint arXiv:1109.0754},
year = {2011}
}