✦ LIBER ✦

Galois Theories

✍ Scribed by Francis Borceux, George Janelidze

Book ID: 127421303
Publisher: Cambridge University Press
Year: 2001
Tongue: English
Weight: 2 MB
Series: Cambridge studies in advanced mathematics 72
Edition: 1
Category: Library
City: Cambridge; New York
ISBN-13: 9780521803090

No coin nor oath required. For personal study only.

✦ Synopsis

Starting from the classical finite-dimensional Galois theory of fields, this book develops Galois theory in a much more general context. The authors first formalize the categorical context in which a general Galois theorem holds, and then give applications to Galois theory for commutative rings, central extensions of groups, the topological theory of covering maps and a Galois theorem for toposes. The book is designed to be accessible to a wide audience, the prerequisites are first courses in algebra and general topology, together with some familiarity with the categorical notions of limit and adjoint functors. For all algebraists and category theorists this book will be a rewarding read.

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