IJPAM: Volume 28, No. 2 (2006)

SOME OBSERVATIONS ON
THE TWISTED LIMITS OF GROUPS

Kenneth K. Nwabueze
Department of Mathematics
University Brunei Darussalam
Gadong, BE 1410, BRUNEI
e-mail: nwabueze@fos.ubd.edu.bn


Abstract.For a category $\mathfrak{C},$ a pro-$\mathfrak{C}$-group is defined as a profinite group $G$ such that for every open normal subgroup $H$ of $G,$ the group $G / H$ is in the class $\mathfrak{C}.$ In this note, we observe two properties of the twisted limits of presheaves of category of finite groups which are also valid for presheaves of the category of pro-$\mathfrak{C}$-groups.

Received: March 8, 2006

AMS Subject Classification: 20E18

Key Words and Phrases: groups, twisted limits, profinite groups

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 28
Issue: 2