On the Preservation for Quasi-Modularity of Field Extensions

Field Extensions and Galois Theory

10.1017/cbo9781107340749 ◽

1984 ◽

Cited By ~ 9

Author(s):

Julio R. Bastida ◽

Roger Lyndon

Keyword(s):

Galois Theory ◽

Field Extensions

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On octic field extensions and a problem in group theory

Group Theory ◽

10.1515/9783110848397-034 ◽

1989 ◽

pp. 443-464 ◽

Cited By ~ 2

Keyword(s):

Group Theory ◽

Field Extensions

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Solvable number field extensions of bounded root discriminant

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-2013-12015-0 ◽

2013 ◽

Vol 141 (10) ◽

pp. 3341-3352 ◽

Cited By ~ 2

Author(s):

Jonah Leshin

Keyword(s):

Number Field ◽

Field Extensions

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LATTICE-ISOMORPHIC GROUPS, AND INFINITE ABELIAN G-COGALOIS FIELD EXTENSIONS

Journal of Algebra and Its Applications ◽

10.1142/s0219498802000069 ◽

2002 ◽

Vol 01 (03) ◽

pp. 243-253 ◽

Cited By ~ 2

Author(s):

TOMA ALBU ◽

ŞERBAN BASARAB

Keyword(s):

Galois Group ◽

Classical Result ◽

Infinite Field ◽

Field Extensions ◽

Lattices Of Subgroups

The aim of this paper is to provide a proof of the following result claimed by Albu (Infinite field extensions with Galois–Cogalois correspondence (II), Revue Roumaine Math. Pures Appl. 47 (2002), to appear): The Kneser group Kne (E/F) of an Abelian G-Cogalois extension E/F and the group of continuous characters Ch(Gal (E/F)) of its Galois group Gal (E/F) are isomorphic (in a noncanonical way). The proof we give in this paper explains why such an isomorphism is expected, being based on a classical result of Baer (Amer. J. Math.61 (1939), 1–44) devoted to the existence of group isomorphisms arising from lattice isomorphisms of their lattices of subgroups.

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