ON SOME SUBGROUPS ASSOCIATED WITH THE TENSOR SQUARE OF A GROUP

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NASRABADI M.M.; GHOLAMIAN A.; SADEGHIFARD M.J.

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2013 | Volume:2 | Issue:2 Page(s): 25-33

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Information Journal Paper

Title

ON SOME SUBGROUPS ASSOCIATED WITH THE TENSOR SQUARE OF A GROUP

Author(s)

NASRABADI M.M. | GHOLAMIAN A. | SADEGHIFARD M.J. | Issue Writer Certificate

Keywords

NON-ABELIAN TENSOR SQUAREQ4

ENGEL ELEMENTS OF A GROUPQ4

P-GROUPSQ4

Abstract

In this paper we present some results about subgroup which is generalization of the sub- group R2Ä(G)={aÎG|[a,g]Ä g=1Ä, "gÎG} of right 2Ä-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]Äg=1Ä, for all x,g,yÎG. In particular P-GROUPS satisfying the law [x,g,y]Äg=1Ä have abelian tensor squares. Moreover, we can determine tensor squares of two-generator P-GROUPS of class three satisfying the law [x,g,y]Äg=1Ä.

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APA: Copy

NASRABADI, M.M., GHOLAMIAN, A., & SADEGHIFARD, M.J.. (2013). ON SOME SUBGROUPS ASSOCIATED WITH THE TENSOR SQUARE OF A GROUP. INTERNATIONAL JOURNAL OF GROUP THEORY, 2(2), 25-33. SID. https://sid.ir/paper/212639/en

Vancouver: Copy

NASRABADI M.M., GHOLAMIAN A., SADEGHIFARD M.J.. ON SOME SUBGROUPS ASSOCIATED WITH THE TENSOR SQUARE OF A GROUP. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2013;2(2):25-33. Available from: https://sid.ir/paper/212639/en

IEEE: Copy

M.M. NASRABADI, A. GHOLAMIAN, and M.J. SADEGHIFARD, “ON SOME SUBGROUPS ASSOCIATED WITH THE TENSOR SQUARE OF A GROUP,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 2, no. 2, pp. 25–33, 2013, [Online]. Available: https://sid.ir/paper/212639/en

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