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Introduction Preliminaries Dedekind-like rings Wildness Structure of a genus Substitute for conductor squares Isomorphism classes in a genus, idele group action Web of class groups Direct sums Finite normalization Appendix A Appendix B Bibliography.
If $p,q$ are primes with $p\equiv 1$ $({\rm mod}\,q)$ there is a unique nonabelian group $G$ of order $pq$. The author obtains a classification of the finitely generated $ZG$-modules in sufficient detail to show (1) the Krull-Schmidt theorem fails but the number of indecomposabl…