Crossed modules
From Encyclopedia of Mathematics
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