2-Capability of 2-Generator 2-Groups of Class Two

被引：0
作者：
F. Gharibi Monfared
S. Kayvanfar
F. Johari
机构：
[1] Ferdowsi University of Mashhad,Department of Pure Mathematics
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2020年 / 43卷
关键词：
Capable group; 2-Capable group; 2-Nilpotent multiplier; 2-Group; 20C25; 20D15;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of this paper is to classify all 2-capable 2-generator 2-groups of class two. Obtaining the structure of the 2-nilpotent multipliers of these 2-groups is the other aim.
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页码：4171 / 4181
页数：10
相关论文
共 31 条
[1]  
Ahmad A(2012)Two generator Publ. Math. Debr. 81 145-166
[2]  
Magidin A(1993)-groups of nilpotency class 2 and their conjugacy classes Arch. Math. 61 508-516
[3]  
Morse RF(1938)The non-abelian tensor square of a 2-generator Trans. Am. Math. Soc. 44 387-412
[4]  
Bacon M(1945)-group of class 2 Trans. Am. Math. Soc. 58 295-419
[5]  
Kappe L-C(1979)Groups with preassigned central and central quotient group J. Algebra 61 161-177
[6]  
Baer R(1997)Representations of groups as quotient groups, I, II, and III Math. Z. 226 405-428
[7]  
Baer R(1940)On groups occurring as center factor groups J. Reine Angew. Math. 182 130-141
[8]  
Beyl FR(1999)On the nilpotent multipliers of a group Glasg. Math. J. 41 417-430
[9]  
Felgner U(2006)The classification of prime-power groups Commun. Algebra 34 2183-2193
[10]  
Schmid P(2010)Two-generator 2-groups of class 2 and their non-abelian tensor squares Contemp. Math. 511 127-166
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