Crossed modules
From Encyclopedia of Mathematics
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A concept arising from the concept of a 
-module (see Module). A group 
(not necessarily Abelian) with a group of operators 
and homomorphism 
such that for any 
and all 
,
 |
is called a crossed 
-module. 
is a 
-module (i.e. its underlying group is Abelian) if and only if 
(
).
How to Cite This Entry:
Crossed modules. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Crossed_modules&oldid=11880
Crossed modules. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Crossed_modules&oldid=11880
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article