ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS

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MIREBRAHIMI H.; MASHAYEKHY BEHROOZ

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2012 | Volume:1 | Issue:3 Page(s): 33-37

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Information Journal Paper

Title

ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS

Author(s)

MIREBRAHIMI H. | MASHAYEKHY BEHROOZ | Issue Writer Certificate

Keywords

CAPABLE GROUPQ4

DIRECT PRODUCTQ4

VARIETY OF GROUPSQ4

V-CAPABLE GROUPQ4

DIRECT LIMITQ4

Abstract

Recently, the authors gave some conditions under which a DIRECT PRODUCT of finitely many groups is V-capable if and only if each of its factors is V-capable for some varieties V. In this paper, we extend this fact to any infinite DIRECT PRODUCT of groups. Moreover, we conclude some results for V-capability of DIRECT PRODUCTs of infinitely many groups in varieties of abelian, nilpotent and polynilpotent groups.

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APA: Copy

MIREBRAHIMI, H., & MASHAYEKHY, BEHROOZ. (2012). ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 1(3), 33-37. SID. https://sid.ir/paper/212663/en

Vancouver: Copy

MIREBRAHIMI H., MASHAYEKHY BEHROOZ. ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2012;1(3):33-37. Available from: https://sid.ir/paper/212663/en

IEEE: Copy

H. MIREBRAHIMI, and BEHROOZ MASHAYEKHY, “ON VARIETAL CAPABILITY OF INFINITE DIRECT PRODUCTS OF GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 1, no. 3, pp. 33–37, 2012, [Online]. Available: https://sid.ir/paper/212663/en

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