On Krull-Schmidt decompositions of unit groups of number fields

We prove that the Krull-Schmidt decomposition of the Galois module of the $p$-adic completion of algebraic units is controlled by the primes that are ramified in the Galois extension and the $S$-ideal class group. We also compute explicit upper bounds for the number of possible Galois module structu...

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Hauptverfasser:	Kumon, Asuka, Lim, Donghyeok
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Number Theory
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