Michael A. Khrystik, О. В. Маркова
Abstract
The length of group algebras for the dihedral groups is calculated in the semi-simple case. For arbitrary n > 2, we prove that the length of the group algebra of the dihedral group of order 2n over an arbitrary field of a characteristic not dividing 2n is equal to n.
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The length of group algebras for the dihedral groups is calculated in the semi-simple case. For arbitrary n > 2, we prove that the length of the group algebra of the dihedral group of order 2n over an arbitrary field of a characteristic not dividing 2n is equal to n.
Key concepts: Dihedral group, Mathematics, Group (periodic table), Dicyclic group, Dihedral angle, Simple (philosophy), Group algebra, Order (exchange)