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On the automorphism groups of 2-generator 2-groups of class two | ||
Journal of Linear and Topological Algebra | ||
دوره 10، شماره 02، شهریور 2021، صفحه 145-152 اصل مقاله (142.13 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
M. Hashemi* ؛ M. Polkouei | ||
Mathematics Faculty, University of Guilan, Rasht, Iran | ||
چکیده | ||
In this paper, by using the relations and properties of some classes of two generator 2-groups of nilpotency class two, we find the order of automorphism group of these groups. | ||
تازه های تحقیق | ||
The PDF file of this paper will be added after sending both completed copy-right and conflict-of-interest forms by authors. | ||
کلیدواژهها | ||
Automorphism groups؛ 2-groups؛ nilpotency class | ||
مراجع | ||
[1] J. N. S. Bidwell, M. J. Curran, The automorphism group of a split metacyclic p-group, Arch. Math. 87 (6) (2006), 488-497.
[2] M. Hashemi, On the automorphism of some classes of groups, Ukrainian Math. J. 61 (12) (2009), 1995-2007.
[3] A. R. Jamali, Some new nonabelian 2-groups with abelian automorphism groups, J. Group Theory. 5 (1) (2002), 53-57.
[4] L. C. Kappe, N. Sarmin, M. Visscher, Two-generator 2-groups of class two and their nonabelian tensor squares, Glasgow Math. J. 41 (1999), 417-430.
[5] The GAP Group, GAP-Groups, Algorithms, and Programming, Version 4.4.12. (http://www. gap–system.org) | ||
آمار تعداد مشاهده مقاله: 382 تعداد دریافت فایل اصل مقاله: 165 |