“School of Mathematics”
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| Paper IPM / M / 64 | ||||||||||||||||||||||||||
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The dimensions of the symmetry classes of tensors, associated with a certain cyclic
subgroup of $m which is generated by a product of disjoint cycles is explicitly given in terms of the generalized Ramanujan sum. These dimensions can also be expressed as the Euler φ-function and the Mobius function.
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