Groups of order 2048 with three generators and three relations

نویسندگان
Smolensky, A. ID 1
Sury, B. ID 2
Vavilov, N. ID 3

1

2

3

doi
10.22108/ijgt.2012.470
چکیده

 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.

کلیدواژه‌ها
Schur multiplier, presentation, deficiency zero, finite $p$-group, lower exponent-$p$ central series