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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
6
votes
Accepted
Chinese Remainder Theorem backwards
Since $h_k := \prod_{i=1}^k \phi_{p^i} = (X^{p^k}-1)/(X-1)$, you are trying to compute the exponent of the cokernel
of the inclusion
$$\mathbf{Z}[X]/(h_k) \rightarrow \prod_{i=1}^k \mathbf{Z}[\zeta_{ …