Group presentations and formal deformations

Wright, Perrin

doi:10.1090/S0002-9947-1975-0380813-5

Group presentations and formal deformations
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by Perrin Wright

Trans. Amer. Math. Soc. 208 (1975), 161-169

DOI: https://doi.org/10.1090/S0002-9947-1975-0380813-5

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Abstract:

Formal deformations (expansions and collapses) of dimension $\leqslant 3$ among $2$-dimensional polyhedra are explained in terms of a certain collection of operations on finite group presentations. The results are valid for any simple homotopy type of $2$-dimensional polyhedra, and simplifications are possible within the simply connected simple homotopy types.

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