Unipotent representations and Dixmier algebras
William M. McGovern (1989)
Compositio Mathematica
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William M. McGovern (1989)
Compositio Mathematica
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Danchev, P. (1997)
Serdica Mathematical Journal
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∗ The work was supported by the National Fund “Scientific researches” and by the Ministry of Education and Science in Bulgaria under contract MM 70/91. Let K be a field of characteristic p > 0 and let G be a direct sum of cyclic groups, such that its torsion part is a p-group. If there exists a K-isomorphism KH ∼= KG for some group H, then it is shown that H ∼= G. Let G be a direct sum of cyclic groups, a divisible group or a simply presented torsion abelian group. Then...
Kondo, Michiro (2004)
International Journal of Mathematics and Mathematical Sciences
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Braun, Gábor (2005)
The New York Journal of Mathematics [electronic only]
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Detlev Poguntke (1983)
Annales scientifiques de l'École Normale Supérieure
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Donna Beers, Fred Richman, Elbert A. Walker (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Spiegel, Eugene, Trojan, Allan (1989)
Portugaliae mathematica
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Cornelius Greither (1992)
Annales de l'institut Fourier
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This first part of this paper gives a proof of the main conjecture of Iwasawa theory for abelian base fields, including the case , by Kolyvagin’s method of Euler systems. On the way, one obtains a general result on local units modulo circular units. This is then used to deduce theorems on the order of -parts of -class groups of abelian number fields: first for relative class groups of real fields (again including the case ). As a consequence, a generalization of the Gras conjecture...
Mollin, R.A. (1984)
International Journal of Mathematics and Mathematical Sciences
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