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Left Adjoint of Pullback Cat1- profinite groups

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.

Anahtar Kelimeler:

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

Left Adjoint of Pullback Cat1- profinite groups

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.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

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