Projective Group Structures as Absolute Galois Structures with Block Approximation

Dan Haran, Moshe Jarden, Florian Pop (Autoren)

Buch | Softcover

56 Seiten

2007 | illustrated Edition
American Mathematical Society (Verlag)
978-0-8218-3995-9 (ISBN)

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Proves that a proper profinite group structure $/mathbf{G}$ is projective if and only if $/mathbf{G}$ is the absolute Galois group structure of a proper field-valuation structure with block approximation.

The authors prove: A proper profinite group structure $/mathbf{G $ is projective if and only if $/mathbf{G $ is the absolute Galois group structure of a proper field-valuation structure with block approximation.

Introduction Etale topology Group structures Completion of a cover to a cartesian square Projective group structures Special covers Unirationally closed fields Valued fields The space of valuation of a field Locally uniform $v$-adic topologies Locally uniform Hensel's lemma Field valuation structures Block approximation Rigid Henselian extensions Projective group structures as absolute Galois structures From field structures to field valuation structures References.

Erscheint lt. Verlag	1.9.2007
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	Illustrations
Verlagsort	Providence
Sprache	englisch
Gewicht	170 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-10	0-8218-3995-0 / 0821839950
ISBN-13	978-0-8218-3995-9 / 9780821839959
Zustand	Neuware