Turkish Journal of Mathematics
DOI
-
Abstract
In this paper, we present a brief review crossed modules \cite{whitehead}, cat^1-groups \cite{loday}, profinite crossed modules \cite{kortim}, cat^1-profinite groups \cite{kortim}, pullback profinite crossed modules \cite{kortim} and also the pullback cat^1- profinite groups \cite{hind}. We prove that the pulback cat^1-profinite group has a left adjoint which is the induced cat^1-group.
Keywords
Crossed modules, Cat^1-groups, pullback, Profinite groups, Left, Right Adjoint, Cocomplete category.
First Page
159
Last Page
168
Recommended Citation
ALP, MURAT (2002) "Left Adjoint of Pullback Cat^1- profinite groups," Turkish Journal of Mathematics: Vol. 26: No. 2, Article 3. Available at: https://journals.tubitak.gov.tr/math/vol26/iss2/3
