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Nasrabadi, Mohammad Mehdi, Gholamian, Ali, Sadeghifard, Mohammad Javad. (1392). On some subgroups associated with the tensor square of a group. , 2(2), 25-33. doi: 10.22108/ijgt.2013.1897
Mohammad Mehdi Nasrabadi; Ali Gholamian; Mohammad Javad Sadeghifard. "On some subgroups associated with the tensor square of a group". , 2, 2, 1392, 25-33. doi: 10.22108/ijgt.2013.1897
Nasrabadi, Mohammad Mehdi, Gholamian, Ali, Sadeghifard, Mohammad Javad. (1392). 'On some subgroups associated with the tensor square of a group', , 2(2), pp. 25-33. doi: 10.22108/ijgt.2013.1897
Nasrabadi, Mohammad Mehdi, Gholamian, Ali, Sadeghifard, Mohammad Javad. On some subgroups associated with the tensor square of a group. , 1392; 2(2): 25-33. doi: 10.22108/ijgt.2013.1897

On some subgroups associated with the tensor square of a group

International Journal of Group Theory
مقاله 4، دوره 2، شماره 2، شهریور 2013، صفحه 25-33    اصل مقاله (417.99 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/ijgt.2013.1897
نویسندگان
Mohammad Mehdi Nasrabadi* 1؛ Ali Gholamian2؛ Mohammad Javad Sadeghifard3
1Department of Maths,birjand university
2Department of math, birjand university
3Islamic Azad University, Neyshabur branch
چکیده
‎In this paper we present some results about subgroup which is‎ ‎generalization of the subgroup $R_{2}^{\otimes}(G)=\{a\in‎ ‎G|[a,g]\otimes g=1_{\otimes},\forall g\in G\}$ of right‎ ‎$2_{\otimes}$-Engel elements of a given group $G$‎. ‎If $p$ is an‎ ‎odd prime‎, ‎then with the help of these results‎, ‎we obtain some‎ ‎results about tensor squares of p-groups satisfying the law‎ ‎$[x,g,y]\otimes g=1_{\otimes}$‎, ‎for all $x‎, ‎g‎, ‎y\in G$‎. ‎In‎ ‎particular p-groups satisfying the law $[x,g,y]\otimes‎ ‎g=1_{\otimes}$ have abelian tensor squares‎. ‎Moreover‎, ‎we can‎ ‎determine tensor squares of two-generator p-groups of class three‎ ‎satisfying the law $[x,g,y]\otimes g=1_{\otimes}$‎.
کلیدواژه‌ها
Non-abelian tensor square؛ Engel elements of a group؛ p-groups
مراجع
D. P. Biddle and L-C. Kappe (2003) On subgroups related to the tensor center Glasgow Math. J. 45, 323-332
R. Brown, D. L. Johnson and E. F. Robertson (1987) Some computations of nonabelian tensor products of groups J. Algebra 111, 177-202
R. Brown and J. L. Loday (1984) Excision homotopique en basse dimension C. R. Acad. Sci. Ser. I Math. Paris 298, 353-356
R. Brown and J. L. Loday (1987) Van Kampen theorems for diagrams of spaces Topology 26, 311-335
G. J. Ellis (1995) Tensor products and q-crossed modules J. London Math. Soc. (2) 51, 243-258
W. P. Kappe (2003) Some subgroups defined by identities Illinois J. Math. 47, 317-326
I. D. Macdonald (1962) On certain varieties of groups(II) Math. Z. 78, 175-188
A. Magidin and R. F. Morse (2010) Certain homological functors of 2-generator p-groups of class 2, Computational Group Theory and the Theory of Groups II Contemporary Mathematics 511, 127-166
P. Moravec (2005) On nonabelian tensor analogues of 2-Engel conditions Glasgow Math. J. 47, 77-86
M. M. Nasrabadi and A. Gholamian (2012) On non abelian tensor analogues of 3-Engel groups Indagationes Mathematicae 23, 337-340
B. H. Neumann (1954) Groups covered by permutable subsets J. London Math. Soc. 29, 236-248
D. J. S. Robinson (1982) A course in the theory of groups Springer-Verlag, New York
J. H. C. Whitehead (1950) A certain exact sequence Ann. Math. 51, 51-110
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