Affiliation:
1. TU Dresden , Dresden , Germany
Abstract
Abstract
We give a new criterion for solvability of group equations, providing proofs of various generalizations of the Kervaire–Laudenbach conjecture for Connes-embeddable groups.
Subject
Algebra and Number Theory
Reference16 articles.
1. J. Berrick and J. Hillman,
The Whitehead conjecture and
l
2
l^{2}
-Betti numbers; in Guido’s book of conjectures: Collected by Indira Chatterji,
Enseign. Math. 54 (2008), 28–29.
2. S. G. Brick,
Normal-convexity and equations over groups,
Invent. Math. 94 (1988), no. 1, 81–104.
3. I. M. Chiswell, D. J. Collins and J. Huebschmann,
Aspherical group presentations,
Math. Z. 178 (1981), no. 1, 1–36.
4. S. M. Gersten,
Amalgamations and the Kervaire problem,
Bull. Amer. Math. Soc. (N.S.) 17 (1987), no. 1, 105–108.
5. S. M. Gersten,
Reducible diagrams and equations over groups,
Essays in Group Theory,
Math. Sci. Res. Inst. Publ. 8,
Springer, New York (1987), 15–73.
Cited by
5 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献