Hereditarily separable groups and monochromatic uniformization
نویسندگان
چکیده
منابع مشابه
Hereditarily Separable Groups and Monochromatic Uniformization
We give a combinatorial equivalent to the existence of a non-free hereditarily separable group of cardinality א1. This can be used, together with a known combinatorial equivalent of the existence of a non-free Whitehead group, to prove that it is consistent that every Whitehead group is free but not every hereditarily separable group is free. We also show that the fact that Z is a p.i.d. with i...
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Koebe’s Retrosection Theorem [8] states that every closed Riemann surface can be uniformized by a Schottky group. In [10] Marden showed that non-classical Schottky groups exist, and a first explicit example of a non-classical Schottky group was given by Yamamoto in [14]. Work on Schottky uniformizations of surfaces with certain symmetry has been done by people such as Hidalgo [7]. The natural q...
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The connections between Whitehead groups and uniformization properties were investigated by the third author in [9]. In particular it was essentially shown there that there is a non-free Whitehead (respectively, א1-coseparable) group of cardinality א1 if and only if there is a ladder system on a stationary subset of ω1 which satisfies 2-uniformization (respectively, ω-uniformization). (See also...
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A limit group is a finitely generated subgroup of a residually free group. We prove the result announced in the tittle. 2000 Mathematics Subject Classification: 20E06, 20E08, 20E18, 20E26, 20E45
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 1994
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02937512