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Fouladi, S., Orfi, R.. (1390). Groups of order 2048 with three generators and three relations. , 1(1), 29-37. doi: 10.22108/ijgt.2012.470
S. Fouladi; R. Orfi. "Groups of order 2048 with three generators and three relations". , 1, 1, 1390, 29-37. doi: 10.22108/ijgt.2012.470
Fouladi, S., Orfi, R.. (1390). 'Groups of order 2048 with three generators and three relations', , 1(1), pp. 29-37. doi: 10.22108/ijgt.2012.470
Fouladi, S., Orfi, R.. Groups of order 2048 with three generators and three relations. , 1390; 1(1): 29-37. doi: 10.22108/ijgt.2012.470

Groups of order 2048 with three generators and three relations

International Journal of Group Theory
مقاله 5، دوره 1، شماره 1، خرداد 2012، صفحه 29-37    اصل مقاله (276.25 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2012.470
نویسندگان
S. Fouladi؛ R. Orfi*
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
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