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Results tagged with geometric-group-theory
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user 318
Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations
18
votes
Accepted
Loop spaces and infinite braids
Yes, $B \beta_\infty$ is homology equivalent to $\Omega^2_0 S^2$, the zero component of the double loop space of $S^2$. The map $B_\infty \to S_\infty$ induces the obvious stablisation map $\Omega^2_0 …
- 18.2k
7
votes
Infinite loop space maps into or out of BAut(F_n)
In the following paper
U. Tillmann, The representation of the mapping class group of a surface on its fundamental group in stable homology, Q J Math (2010) 61 (3): 373-380.
Ulrike Tillmann studies t …
- 18.2k
3
votes
On the homological dimension of a Borel construction
I think $f: M /\!\!/ G \to B\Gamma$ cannot be nontrivial on $\mathbb{Q}$-(co)homology in degrees beyond the dimension of $M$, because I think one can find a factorisation
$$f_* : H_*(M /\!\!/ G ; \mat …
- 18.2k