Relatively projective groups as absolute galois groups

Dan Haran; Moshe Jarden

doi:10.1007/0-387-23534-5_5

Relatively projective groups as absolute galois groups

Dan Haran^*, Moshe Jarden

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

A group structure G = (G, G₁,..., G_n) is projective if and only if G is isomorphic to a Galois group structure Gal(K) = (Gal(K),Gal(K₁),...,Gal(K_n))of a field-valuation structure K = (K,K₁,v_n,...,K_n,v_n) where (K_i/v_i) is the Henselian closure of (K, V_i{pipe}K) and K is pseudo closed with respect to K₁,...,K_n.

Original language	English
Title of host publication	PROGRESS IN GALOIS THEORY
Publisher	Springer New York LLC
Pages	87-100
Number of pages	14
ISBN (Print)	0387235337, 9780387235332
DOIs	https://doi.org/10.1007/0-387-23534-5_5
State	Published - 2005

Publication series

Name	Developments in Mathematics
Volume	12
ISSN (Print)	1389-2177

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10.1007/0-387-23534-5_5

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abstract = "A group structure G = (G, G1,..., Gn) is projective if and only if G is isomorphic to a Galois group structure Gal(K) = (Gal(K),Gal(K1),...,Gal(Kn))of a field-valuation structure K = (K,K1,vn,...,Kn,vn) where (Ki/vi) is the Henselian closure of (K, Vi{pipe}K) and K is pseudo closed with respect to K1,...,Kn.",

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Relatively projective groups as absolute galois groups

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