On invariants for ω-separable groups

Paul C. Eklof; Matthew Foreman; Saharon Shelah

doi:10.1090/S0002-9947-1995-1316849-X

On invariants for ω-separable groups

Paul C. Eklof, Matthew Foreman, Saharon Shelah

Research output: Contribution to journal › Article › peer-review

19 Scopus citations

Abstract

We study the classification of ω₁-separable groups by using Ehrenfeucht-Fra'isse games and prove a strong classification result assuming PFA, and a strong non-structure theorem assuming.

Original language	English
Pages (from-to)	4385-4402
Number of pages	18
Journal	Transactions of the American Mathematical Society
Volume	347
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9947-1995-1316849-X
State	Published - Nov 1995
Externally published	Yes

Keywords

Almost free groups
Ehrenfeucht-Fraisse games
N-separable abelian groups

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10.1090/S0002-9947-1995-1316849-X

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title = "On invariants for ω-separable groups",

abstract = "We study the classification of ω1-separable groups by using Ehrenfeucht-Fra'isse games and prove a strong classification result assuming PFA, and a strong non-structure theorem assuming.",

keywords = "Almost free groups, Ehrenfeucht-Fraisse games, N-separable abelian groups",

author = "Eklof, \{Paul C.\} and Matthew Foreman and Saharon Shelah",

year = "1995",

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AU - Shelah, Saharon

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AB - We study the classification of ω1-separable groups by using Ehrenfeucht-Fra'isse games and prove a strong classification result assuming PFA, and a strong non-structure theorem assuming.

KW - Almost free groups

KW - Ehrenfeucht-Fraisse games

KW - N-separable abelian groups

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JF - Transactions of the American Mathematical Society

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On invariants for ω-separable groups

Abstract

Keywords

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