منابع مشابه
Whitehead Groups of Finite Groups
In 1966, Milnor surveyed in this Bulletin [23] the concept of Whitehead torsion, focusing on the definition, topological significance and computation of Whitehead groups and their relationship to algebraic ^-theory and the congruence subgroup problem. As Milnor showed in that survey [23, Appendix 1], an affirmative solution to the congruence subgroup problem for algebraic number fields would im...
متن کاملTest Groups for Whitehead Groups
We consider the question of when the dual of a Whitehead group is a test group for Whitehead groups. This turns out to be equivalent to the question of when the tensor product of two Whitehead groups is Whitehead. We investigate what happens in different models of set theory.
متن کاملBorel Whitehead Groups
We investigate the Whiteheadness of Borel abelian groups (א1-free, without loss of generality as otherwise this is trivial). We show that CH (and even WCH) implies any such abelian group is free, and always א2-free. 1998 Mathematics Subject Classification 03C60, 03E15, 20K20.
متن کاملUniformization and the Diversity of Whitehead Groups
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...
متن کاملDeformations of Whitehead Products, Symplectomorphism Groups, and Gromov–Witten Invariants
homotopy groups π∗(Xλ)⊗Q for a family of topological spaces, once we know enough about their additive structure. This allows us to interpret the condition of realizing as an Ak map a multiple of a map f : S1 −→ G between two topological groups in terms of the existence of a rational Whitehead product of order k. Our main example will be when the Xλ are classifying spaces of symplectomorphism gr...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1982
ISSN: 0035-7596
DOI: 10.1216/rmj-1982-12-2-271