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More about homological Properties of precrossed modules

Nick Inassaridze and Emzar Khmaladze

Homology groups modulo $q$ of a precrossed $P$-module in any dimensions are defined in terms of nonabelian derived functors, where $q$ is a nonnegative integer. The Hopf formula is proved for the second homology group modulo $q$ of a precrossed $P$-module which shows that for $q=0$ our definition is a natural extension of Conduch\'e and Ellis' definition [CE]. Some other properties of homologies of precrossed $P$-modules are investigated.

Homology, Homotopy and Applications, Vol. 2, 2000, No. 7, pp. 105-114

http://www.rmi.acnet.ge/hha/volumes/2000/n7/n7.dvi (ps, dvi.gz, ps.gz)
ftp://ftp.rmi.acnet.ge/pub/hha/volumes/2000/n7/n7.dvi (ps, dvi.gz, ps.gz)