Groups of order 2048 with three generators and three relations
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 Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Isfahan
2012-03-01
|
| Series: | International Journal of Group Theory |
| Subjects: | |
| Online Access: | http://www.theoryofgroups.ir/?_action=showPDF&article=470&_ob=fcd7ddcb5b52b3c1b3764203d5e9bab6&fileName=full_text.pdf |