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Assuming only basic algebra and Galois theory, the book develops the method of "algebraic patching" to realize finite groups and, more generally, to solve finite split embedding problems over fields. The method succeeds over rational function fields of one variable over "ample fields". Among others, it leads to the solution of two central results in "Field Arithmetic": (a) The absolute Galois group of a countable Hilbertian pac field is free on countably many generators; (b) The absolute Galois group of a function field of one variable over an algebraically closed field $C$ is free of rank equal to the cardinality of $C$.
Beginning in 1924, Proceedings are incorporated into the Apr. number.
Historical papers are prefixed to several issues.
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Nutritional Supplements in Sport, Exercise and Health is the most up-to-date and authoritative guide to dietary supplements, ergogenic aids and sports nutrition foods currently available. Consisting of over 140 evidence-based review articles written by world-leading research scientists and practitioners, the book aims to dispel the misinformation that surrounds supplements and supplementation, offering a useful, balanced and unbiased resource. The reviews are set out in an A-Z format and include: definitions alongside related products; applicable food sources; where appropriate, practical recommendations such as dosage and timing, possible nutrient interactions requiring the avoidance of oth...
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