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Some Applications of A BHYANKAR 's Lemma
Author(s) -
Gold Robert,
Madan M. L.
Publication year - 1978
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19780820112
Subject(s) - lemma (botany) , mathematics , simple (philosophy) , class (philosophy) , abelian group , pure mathematics , algebra over a field , computer science , artificial intelligence , epistemology , ecology , philosophy , poaceae , biology
A BHYANKAR 's Lemma provides a simple method of producing unramified extensions of number fields. By application of the lemma we simultaneously simplify and strengthen some recent results of I SHIDA concerning unramified abelian extensions and class numbers.