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<図書>
Groups as Galois groups : an introduction

責任表示 Helmut Völklein
シリーズ Cambridge studies in advanced mathematics ; 53
データ種別 図書
出版者 Cambridge : Cambridge University Press
出版年 1996
本文言語 英語
大きさ xvii, 248 p. ; 24 cm
概要 This book describes various approaches to the Inverse Galois Problem, a classical unsolved problem of mathematics posed by Hilbert at the beginning of the century. It brings together ideas from group ...heory, algebraic geometry and number theory, topology, and analysis. Assuming only elementary algebra and complex analysis, the author develops the necessary background from topology, Riemann surface theory and number theory. The first part of the book is quite elementary, and leads up to the basic rigidity criteria for the realization of groups as Galois groups. The second part presents more advanced topics, such as braid group action and moduli spaces for covers of the Riemann sphere, GAR- and GAL- realizations, and patching over complete valued fields. Graduate students and mathematicians from other areas (especially group theory) will find this an excellent introduction to a fascinating field. 続きを見る
電子版へのリンク

所蔵情報


理系図1F 開架 054211997002501 411.73/V 88/54970250 1996

理系図3F 数理独自 023212006006287 VOLK/3/1 1996

書誌詳細

一般注記 Includes bibliographical references (p. 243-246) and index
著者標目 *Völklein, Helmut
件 名 LCSH:Inverse Galois theory
分 類 LCC:QA247
DC20:512/.3
書誌ID 1000218982
ISBN 0521562805
NCID BA28531018
巻冊次 : hardback ; ISBN:0521562805 ; XISBN:9780521562805
登録日 2009.09.11
更新日 2017.03.14

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