DIHEDRAL GROUPS OF ORDER 2<sup>m+1</sup>

Bilal N. Al-Hasanat, Othman A. Almatroud, Mousa S. Ababneh

DIHEDRAL GROUPS OF ORDER 2^m+1

Bilal N. Al-Hasanat¹, Othman A. Almatroud², Mousa S. Ababneh³

¹Department of Mathematics
Al Hussein Bin Talal University
Maan, JORDAN
²Department of Mathematics
Hail University
Hail, 81481, SAUDI ARABIA
³Department of Finance and Administrative
Irbed University College
BAU (Al-Balga Appl. University), JORDAN

Abstract. The aim of this paper is to determine the structure of the dihedral groups of order 2^m+1, where m in a natural number greater than 1, and to describe a lot of properties for these groups.

AMS Subject classification: 20D15, 20D25

Keywords and phrases: dihedral groups, cycle, conjugacy classes

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DOI: 10.12732/ijam.v26i1.1

Volume: 26
Issue: 1
Year: 2013

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Volume 26, No. 1 (2013)

IJAM, Volume 26, No. 1 (2013)