Free crossed resolutions from simplicial resolutions with given CW-basis

Mathematics – K-Theory and Homology

Scientific paper

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31 pages

Scientific paper

10.1088/0305-4470/32/19/302

In this paper, we examine the relationship between a CW-basis for a free
simplicial group and methods of freely generating the corresponding crossed
complex. Attention is concentrated on the case of resolutions, thus comparing
free simplicial resolutions with crossed resolutions of a group.

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