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Quang, Nguyen Tien, Tuyen, Doan Trong, Thuy, Nguyen Thi Thu. (1392). Co-prolongations of a group extension. , 3(1), 57-64. doi: 10.22108/ijgt.2014.3225
Nguyen Tien Quang; Doan Trong Tuyen; Nguyen Thi Thu Thuy. "Co-prolongations of a group extension". , 3, 1, 1392, 57-64. doi: 10.22108/ijgt.2014.3225
Quang, Nguyen Tien, Tuyen, Doan Trong, Thuy, Nguyen Thi Thu. (1392). 'Co-prolongations of a group extension', , 3(1), pp. 57-64. doi: 10.22108/ijgt.2014.3225
Quang, Nguyen Tien, Tuyen, Doan Trong, Thuy, Nguyen Thi Thu. Co-prolongations of a group extension. , 1392; 3(1): 57-64. doi: 10.22108/ijgt.2014.3225

Co-prolongations of a group extension

International Journal of Group Theory
مقاله 5، دوره 3، شماره 1، خرداد 2014، صفحه 57-64    اصل مقاله (603.07 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2014.3225
نویسندگان
Nguyen Tien Quang1؛ Doan Trong Tuyen2؛ Nguyen Thi Thu Thuy3
1Hanoi National University of Education
2National Economics University
3Hanoi University of Science and Technology
چکیده
The aim of this paper is to study co-prolongations‎ ‎of central extensions‎. ‎We construct the obstruction theory for‎ ‎co-prolongations‎ ‎and classify the equivalence classes of these by kernels of homomorphisms‎ ‎between 2-dimensional cohomology groups of groups‎.
کلیدواژه‌ها
group extension؛ cohomology of groups؛ prolongation؛ obstruction
مراجع
K. S. Brown (1982) Cohomology of groups Springe-Verlag, New York-Berlin
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P. Hilton (1971) Lectures in homological algebra Amer. Math. Soc. (8)
S. Mac Lane (1985) Extensions and obstruction for rings Illinois J. Math. 2, 316-345
S. Mac Lane (1963) Homology (Die Grundlehren der mathematischen Wissenschaften) Bd. 114 Academic Press, Inc., Publishers, New York, Springer-Verlag, Berlin-Göttingen-Heidelberg
S. Mac Lane (1988) Group extensions for 45 years Math. Intelligencer 10 (2), 29-35
G. K. Pedersen (1999) Pullback and pushout constructions in $C\sp *$-algebra theory J. Funct. Anal. 167 (2), 243-344
N. T. Quang, C. T. Kim Phung and P. Thi Cuc (2012) The prolongation of central extensions Int. J. Group Theory 1 (2), 39-49
E. Weiss (1969) Cohomology of groups Pure and Applied Mathematics, Academic Press, New York-London 34
J. H. C. Whitehead (1949) Combinatorial homotopy II Bull. Amer. Math. Soc. 55, 453-496
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