ON FINITE A-PERFECT ABELIAN GROUPS

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NASRABADI MOHAMMAD MEHDI; GHOLAMIAN ALI

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Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2012 | Volume:1 | Issue:3 Page(s): 11-14

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Information Journal Paper

Title

ON FINITE A-PERFECT ABELIAN GROUPS

Author(s)

NASRABADI MOHAMMAD MEHDI | GHOLAMIAN ALI | Issue Writer Certificate

Keywords

AUTOMORPHISMQ4

AUTOCOMMUTATOR SUBGROUPQ4

A-PERFECT GROUPQ4

FINITE ABELIAN GROUPQ4

Abstract

Let G be a group and A=Aut (G) be the group of AUTOMORPHISMs of G. Then the element [g; a] =g-1 a(g) is an autocommutator of gÎG and aÎA. Also, the AUTOCOMMUTATOR SUBGROUP of G is defined to be K (G) =áçh [g; a]=gÎG), aÎAñ, which is a characteristic subgroup of G containing the derived subgroup G’ of G. A group is dened as A-perfect, if it equals its own AUTOCOMMUTATOR SUBGROUP. The present research is aimed at classifying FINITE ABELIAN GROUPs which are A-perfect.

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APA: Copy

NASRABADI, MOHAMMAD MEHDI, & GHOLAMIAN, ALI. (2012). ON FINITE A-PERFECT ABELIAN GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY, 1(3), 11-14. SID. https://sid.ir/paper/212665/en

Vancouver: Copy

NASRABADI MOHAMMAD MEHDI, GHOLAMIAN ALI. ON FINITE A-PERFECT ABELIAN GROUPS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2012;1(3):11-14. Available from: https://sid.ir/paper/212665/en

IEEE: Copy

MOHAMMAD MEHDI NASRABADI, and ALI GHOLAMIAN, “ON FINITE A-PERFECT ABELIAN GROUPS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 1, no. 3, pp. 11–14, 2012, [Online]. Available: https://sid.ir/paper/212665/en

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