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
Theory and Applications of Categories, Vol. 4, 1998, No. 8, pp 174-194 http://www.tac.mta.ca/tac/volumes/1998/n8/n8.dvi http://www.tac.mta.ca/tac/volumes/1998/n8/n8.ps ftp://ftp.tac.mta.ca/pub/tac/html/volumes/1998/n8/n8.dvi ftp://ftp.tac.mta.ca/pub/tac/html/volumes/1998/n8/n8.ps