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Using free simplicial groups, it is shown how to construct a free or totally free 2-crossed module on suitable construction data. 2-crossed complexes are introduced and similar freeness results for these are discussed.
Please note the electronically available References at http://www.tac.mta.ca/tac/volumes/1998/n8/reference.html
@article{TAC_1998_4_a7, author = {A. Mutlu and T. Porter}, title = {Freeness {Conditions} for {2-Crossed} {Modules} and {Complexes}}, journal = {Theory and applications of categories}, pages = {174--194}, publisher = {mathdoc}, volume = {4}, year = {1998}, language = {en}, url = {http://geodesic.mathdoc.fr/item/TAC_1998_4_a7/} }
A. Mutlu; T. Porter. Freeness Conditions for 2-Crossed Modules and Complexes. Theory and applications of categories, Tome 4 (1998), pp. 174-194. http://geodesic.mathdoc.fr/item/TAC_1998_4_a7/