Publikation: Split embedding problems over the open arithmetic disc
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2014
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Paran, Elan
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Transactions of the American Mathematical Society. 2014, 366(7), pp. 3535-3551. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-05931-X
Zusammenfassung
Let Z{t} be the ring of arithmetic power series that converge on the complex open unit disc. A classical result of Harbater asserts that every finite group occurs as a Galois group over the quotient field of Z{t}. We strengthen this by showing that every finite split embedding problem over Q acquires a solution over this field. More generally, we solve all t-unramified finite split embedding problems over the quotient field of OK{t}, where OK is the ring of integers of an arbitrary number field K.
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510 Mathematik
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FEHM, Arno, Elan PARAN, 2014. Split embedding problems over the open arithmetic disc. In: Transactions of the American Mathematical Society. 2014, 366(7), pp. 3535-3551. ISSN 0002-9947. eISSN 1088-6850. Available under: doi: 10.1090/S0002-9947-2014-05931-XBibTex
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year={2014},
doi={10.1090/S0002-9947-2014-05931-X},
title={Split embedding problems over the open arithmetic disc},
number={7},
volume={366},
issn={0002-9947},
journal={Transactions of the American Mathematical Society},
pages={3535--3551},
author={Fehm, Arno and Paran, Elan}
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