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This quantity surveys fresh interactions among version concept and different branches of arithmetic, particularly team concept. starting with an introductory bankruptcy describing proper history fabric, the ebook includes contributions from many prime foreign figures during this zone. issues defined comprise automorphism teams of algebraically closed fields, the version idea of pseudo-finite fields and purposes to the subgroup constitution of finite Chevalley teams. version idea of modules, and elements of version conception of varied periods of teams, together with loose teams, also are mentioned. The publication additionally includes the 1st accomplished survey of finite covers. Many new proofs and simplifications of modern effects are provided and the articles include many open difficulties. This booklet might be an appropriate advisor for graduate scholars and an invaluable reference for researchers operating in version conception and algebra.
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