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An algorithmic approach to fundamental groups and covers of combinatorial cell complexes. (English) Zbl 0942.57002

This paper describes a practical algorithmic approach to the computation of fundamental groups, first homology groups and of deck groups of two dimensional cell complexes. Some of the algorithms have been implemented in GAP using the GRAPE package.

MSC:

57M20 Two-dimensional complexes (manifolds) (MSC2010)
68W30 Symbolic computation and algebraic computation
57M05 Fundamental group, presentations, free differential calculus
57M10 Covering spaces and low-dimensional topology
57-04 Software, source code, etc. for problems pertaining to manifolds and cell complexes

Software:

GRAPE; GAP

References:

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