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Results tagged with presentations-of-groups
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user 27253
1
vote
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Do Nielsen transformations on a presentation preserve the homotopy type of the corresponding...
Let $\mathcal{P}$ be a finite presentation of some group. When we apply some Nielsen transformations on $\mathcal{P}$, will the homotope type of the presentation complex $K_{\mathcal{P}}$ of $\mathcal …
- 351
3
votes
0
answers
449
views
The second homology of a group G and presentation complex of G
Let $G$ be a finitely presentable group. If we assume $H_2(G,Z/pZ) =0$, $p$ is a prime, then can we always find a finite presentation $\mathcal{P}$ of $G$ so that its presentation complex $K_{\mathcal …
- 351