SOME PROPERTIES OF MARGINAL AUTOMORPHISMS OF GROUPS

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MOGHADDAM MOHAMMAD REZA R.; SAFA HESAM

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ISSN: 2588-4824

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Paper Information

Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2013 | Volume:39 | Issue:6 Page(s): 1181-1188

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Title

SOME PROPERTIES OF MARGINAL AUTOMORPHISMS OF GROUPS

Author(s)

MOGHADDAM MOHAMMAD REZA R. | SAFA HESAM | Issue Writer Certificate

Keywords

ELEMENTARY ABELIAN P-GROUP

MARGINAL AUTOMORPHISM

MARGINAL SUBGROUP

PURELY NON-ABELIAN GROUP

VERBAL SUBGROUP

Abstract

Let W be a non-empty subset of a free group. The automorphism a of a group G is said to be a MARGINAL AUTOMORPHISM (with respect to W), if for all xÎG, x-1 a (x)ÎW*(G), where W*(G) is the MARGINAL SUBGROUP of G.In this paper, we study the concept of MARGINAL AUTOMORPHISMs of a given group and we obtain a necessary and sufficient condition for a purely non-abelian finite p-group G, such that the set of all MARGINAL AUTOMORPHISMs of G forms an ELEMENTARY ABELIAN P-GROUP.

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APA: Copy

MOGHADDAM, MOHAMMAD REZA R., & SAFA, HESAM. (2013). SOME PROPERTIES OF MARGINAL AUTOMORPHISMS OF GROUPS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 39(6), 1181-1188. SID. https://sid.ir/paper/614833/en

Vancouver: Copy

MOGHADDAM MOHAMMAD REZA R., SAFA HESAM. SOME PROPERTIES OF MARGINAL AUTOMORPHISMS OF GROUPS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2013;39(6):1181-1188. Available from: https://sid.ir/paper/614833/en

IEEE: Copy

MOHAMMAD REZA R. MOGHADDAM, and HESAM SAFA, “SOME PROPERTIES OF MARGINAL AUTOMORPHISMS OF GROUPS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 39, no. 6, pp. 1181–1188, 2013, [Online]. Available: https://sid.ir/paper/614833/en

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