Generalized crossed modules and group-groupoids

Authors

MUSTAFA HABİL GÜRSOY
HATİCE ASLAN
İLHAN İÇEN

DOI

10.3906/mat-1602-63

Abstract

In this present work, we present the concept of a crossed module over generalized groupsand we call it a "generalized crossed module". We also define a generalizedgroup-groupoid. Furthermore, we show that the category of generalized crossedmodules is equivalent to that of generalized group-groupoids whose object sets are abelian generalized group.

Keywords

Groupoid, crossed module, generalized group

First Page

1535

Last Page

1551

Recommended Citation

GÜRSOY, MUSTAFA HABİL; ASLAN, HATİCE; and İÇEN, İLHAN (2017) "Generalized crossed modules and group-groupoids," Turkish Journal of Mathematics: Vol. 41: No. 6, Article 14. https://doi.org/10.3906/mat-1602-63
Available at: https://journals.tubitak.gov.tr/math/vol41/iss6/14