A description of the two-dimensional representations of the dihedral group over the commutative local rings (in Ukrainian)

Author Yu. V. Petechuk
vasil-petechuk@rambler.ru
Ukraine, Uzhgorod

Abstract The full description of the two-dimensional representations of the dihedral group $D_{m} =\left\langle a,b{\rm}\left|{\rm }a^{m}=1,{\rm}b^{2} =1,{\rm \; }bab^{-1} =a^{-1} \right. \right\rangle,$ $m>1$ over the commutative local rings, is proposed from the point of view of a unified position. The conditions for their irreducibility, indecomposable and equivalency are found.
Keywords commutative local ring; dihedral group; two-dimensional images; irreducibility
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Pages 115-131
Volume 37
Issue 2
Year 2012
Journal Matematychni Studii
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