%0 Journal Article
%T Groups of order 2048 with three generators and three relations
%A S. Fouladi
%A R. Orfi
%J International Journal of Group Theory
%D 2012
%I University of Isfahan
%X 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.
%K Schur multiplier
%K presentation
%K deficiency zero
%K finite $p$-group
%K lower exponent-$p$ central series
%U http://www.theoryofgroups.ir/?_action=showPDF&article=470&_ob=fcd7ddcb5b52b3c1b3764203d5e9bab6&fileName=full_text.pdf