Journals / Journal of Scientific Reports-A / 2000 / Sayı: 001
SECTIONS IN GAP
- Issue
- 2000 · Sayı: 001
- Pages
- 225–238
- DOI
- —
Abstract
In this paper we describe a share package XMOD (Alp, Wensley, 1997) of functions for computing with finite, permutation crossed modules, their morphisms and derivations; cat'morphisms and their sections, written using the CAP (Schonert, /993) group theory programming language. We also give the implementation method of sections to the CAP. /991 A. M. S. c. 13D99, 16A99, 17899, 17D99, 18D35. ,>A starting point for this paper was to consider the possibility of implementing functions for doing calculations with crossed modules, derivations, actor crossed modules, catl-groups, sections, induced crossed modules and induced cat I-groups in GAP (Schonert, I993).
Özet
In this paper we describe a share package XMOD (Alp,Wensley, 1997) of functions for computing with finite, permutationcrossed modules, their morphisms and derivations; cat'<groups, theirmorphisms and their sections, written using the CAP (Schonert, /993)group theory programming language. We also give theimplementation method of sections to the CAP./991 A. M. S. c. 13D99, 16A99, 17899, 17D99, 18D35.Keywords: Crossed modules, derivation, whitehead multiplication,Cat'<groups.sections.