The Cyclic Decomposition Of cf(Q_14×C_2p)/ R ̅(Q_14×C_2p)
Abstract
. In this paper, we propose the cyclic decomposition of the factor group , and the group is Z-valued class functions of the direct product group under the operation of addition, and is the subgroup of the generalized characters of the group .Then is an abelian factor group denoted by where is the quaternion group of order and is the cyclic group of order . Also, we find the rational valued characters table of the group when and prime numbers and is given as follows :
(1)
and find the cyclic decomposition of group in this paper and prove that
(2)
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References
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