2008•Journal of North University of ChinaRequires access

Character Tables of Generalized Quaternion Group and Same-Order Dihedral Group

JI Xiao-long

Abstract

Considering many similar properties in the quaternion group Q8 and the dihedral group D8,the generalized quaternion group Q4m and same-order dihedral group D2n are extended accordingly.After analyzing the structure of the finite group,the character tables of generalized quaternion group and same-order dihedral group are discussed,which have the same table under certain conditions.

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Key concepts: Dihedral group, Quaternion, Group (periodic table), Dicyclic group, Dihedral angle, Quaternion group, Character table, Character (mathematics)