Journals / Turkish Journal of Mathematics / 2002 / Cilt: 26 - Sayı: 2

Left Adjoint of Pullback Cat1- profinite groups

Pages
159–168
DOI
—

Abstract

In this paper, we present a brief review crossed modules \cite{whitehead}, cat1-groups \cite{loday}, profinite crossed modules \cite{kortim}, cat1-profinite groups \cite{kortim}, pullback profinite crossed modules \cite{kortim} and also the pullback cat1- profinite groups \cite{hind}. We prove that the pulback cat1-profinite group has a left adjoint which is the induced cat1-group.

Özet

In this paper, we present a brief review crossed modules \cite{whitehead}, cat1-groups \cite{loday}, profinite crossed modules \cite{kortim}, cat1-profinite groups \cite{kortim}, pullback profinite crossed modules \cite{kortim} and also the pullback cat1- profinite groups \cite{hind}. We prove that the pulback cat1-profinite group has a left adjoint which is the induced cat1-group.

Keywords: Crossed modules, Cat1-groups, pullback, Profinite groups, Left, Right Adjoint, Cocomplete category.