Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2014; 29(1): 9-22

Printed January 31, 2014

https://doi.org/10.4134/CKMS.2014.29.1.9

Copyright © The Korean Mathematical Society.

Crossed modules and strict Gr-categories

Nguyen Tien Quang, Pham Thi Cuc, and Nguyen Thu Thuy

Hanoi National University of Education, Hongduc University, Academy of Finance, Science Faculty

Abstract

In this paper we state some applications of Gr-category theory to the classification problem of crossed modules and to that of group extensions of the type of a crossed module.

Keywords: crossed module, Gr-category, group extension, group cohomology, obstruction

MSC numbers: 20J05, 20E22, 18D10

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