Groups of order 2048 with three generators and three relations

Document Type : Research 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.


Main Subjects

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  • Receive Date: 27 July 2011
  • Revise Date: 15 November 2011
  • Accept Date: 15 November 2011
  • Published Online: 01 March 2012