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[null,"1.","Record Nr.",null,"UNINA9910137033203321"]
[null,null,"Titolo",null,"Der Briefwechsel : Hasse - Scholz - Taussky / / herausgegeben von Franz Lemmermeyer und Peter Roquette"]
[null,null,"Pubbl/distr/stampa",null,"Göttingen : , : Universitätsverlag Göttingen, , 2016"]
[{"$nulls":4},"©2016"]
[null,null,"Descrizione fisica",null,"1 online resource (xxii, 574 pages) : illustrations; digital, PDF file(s)"]
[null,null,"Collana",null,"Open Access e-Books"]
[{"$nulls":4},"Knowledge Unlatched"]
[null,null,"Disciplina",null,"510.92"]
[null,null,"Soggetti",null,"Mathematicians - Germany"]
[{"$nulls":4},"Mathematicians - Austria"]
[{"$nulls":4},"Mathematics - History"]
[null,null,"Lingua di pubblicazione",null,"Tedesco"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (pages 542-564) and indexes."]
[null,null,null,"Sommario/riassunto","Arnold Scholz (1906-1941) war einer der vielversprechendsten jungen Zahlentheoretiker in den 1930er Jahren, einer der besten Kenner der Klassenkörpertheorie. Als Doktorand von Issai Schur war er auch mit gruppentheoretischen Methoden vertraut. Da er während des Dritten Reichs als politisch nicht zuverlässig galt (er war ein enger Freund des ebenfalls \"suspekten\" Ernst Zermelo), konnte er keine sichere Stelle finden. Trotzdem gelang es ihm, eine Reihe wichtiger Resultate zu erhalten, u.a. bei der Realisierung von Galoisgruppen und in der Theorie der Normenreste. Der zu einem klaren Verständnis dieser Ergebnisse notwendige kohomologische Apparat war damals noch nicht entwickelt, und daher konnten zunächst nur Wenige mit den Scholzschen Ideen etwas anfangen. Eine Reihe seiner Resultate wurden später wiederentdeckt. Schafarewitsch konnte mit Hilfe der Scholzschen Methoden zeigen, dass jede endliche auflösbare Gruppe als Galoisgruppe einer Erweiterung der rationalen Zahlen vorkommt. Das vorliegende Buch, das als erster Schritt zu einem besseren Verständnis des Werks von Arnold Scholz anzusehen ist, enthält die Korrespondenz zwischen Arnold Scholz und Helmut Hasse einerseits und Olga Taussky andererseits, soweit sie in den Archiven der Universität Göttingen und des California Institute of Technology in Pasadena erhalten sind. Auch die Korrespondenz zwischen Hasse und Taussky bis zum frühen Tod "]
[{"$nulls":4},"von Arnold Scholz wurde aufgenommen."]
[{"$nulls":4},"Arnold Scholz (1906-1941) was one of the most promising young number theorists in the 1930s, one of the best connoisseurs of class field theory.  As a graduate student of Issai Schur, he was also familiar with group theoretical methods.  Since he was considered politically unreliable during the Third Reich (he was a close friend of the also \"suspicious\" Ernst Zermelo), he could not find a safe place.  Nevertheless, he managed to obtain a number of important results, including the realization of Galois groups and the theory of standard remainders.  The cohomological apparatus necessary for a clear understanding of these results was not yet developed at that time, and therefore at first only a few could do anything with Scholz's ideas.  A number of his findings were later rediscovered.  Schafarevich was able to show, with the help of Scholz's methods, that every finite group that can be resolved is a Galois group of an expansion of rational numbers.  The present book, which is to be regarded as the first step towards a better understanding of the work of Arnold Scholz, contains the correspondence between Arnold Scholz and Helmut Hasse on the one hand and Olga Taussky on the other, as far as they are in the archives of the University of Göttingen and the California Institute of Technology in Pasadena are preserved.  The correspondence between Hasse and Taussky until the early death of Arnold Scholz was also recorded."]