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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Fouladi, S. and Orfi, R. (2012). Groups of order 2048 with three generators and three relations. International Journal of Group Theory, 1(1), 29-37. doi: 10.22108/ijgt.2012.470
MLA
Fouladi, S. , and Orfi, R. . "Groups of order 2048 with three generators and three relations", International Journal of Group Theory, 1, 1, 2012, 29-37. doi: 10.22108/ijgt.2012.470
HARVARD
Fouladi, S., Orfi, R. (2012). 'Groups of order 2048 with three generators and three relations', International Journal of Group Theory, 1(1), pp. 29-37. doi: 10.22108/ijgt.2012.470
CHICAGO
S. Fouladi and R. Orfi, "Groups of order 2048 with three generators and three relations," International Journal of Group Theory, 1 1 (2012): 29-37, doi: 10.22108/ijgt.2012.470
VANCOUVER
Fouladi, S., Orfi, R. Groups of order 2048 with three generators and three relations. International Journal of Group Theory, 2012; 1(1): 29-37. doi: 10.22108/ijgt.2012.470