Öz
In this paper we describe a package XMOD (Wensley and
Alp,1993) of functions for computing with crossed modules, their
morphisms and derivations; cat' -groups, their morphisms and
sections, written using the sf GAP (Schonert , 1993) group theory
programming language. We have also enumerated the isomorphism
classes of cat-groups in (Alp ,1997) and (Alp, Wensley ,1997) and
(Alp ,1997) We gave the application algorithms and some
mathematical results on cat' -group structures in (Alp, 1998) . We also
made a computational comment on pre-crossed modules, pre-cat Igroups
and underlying grupoids in this paper.
Anahtar Kelimeler
Kaynakça
- Alp, M., GAP, Crossed modules and Cat61-groups: Applications of computational group theory, University of Wales, Bangor, Ph.D. Thesis, (1997) 440pp.
- Alp, M., Enumeration of Cat-groups of order 41-47, Anadolu Universitesi Fen Fakiiltesi Dergisi, Sayi 3 (1997) 79-90.
- Alp, M., Special cases of Derivations groups, Algebras, Groups and Geometries, Vo1.l5 (J 998) (to appear).
- Alp, M. and Wensley, C. D., Enumeration of Cati-groups of low order, U. W. B. preprint, 96.05, l5pp.
- Brown, R. and Higgins, P. J., On the connection between the second relative homotopy group some related space, Proc. London. Math. Soc., 36 (1978) 193-212.
- Loday, J. L., Spaces with finitely many non-trivial homotopy groups, 1.App.Algebra, 24 (1982) J 79-202.
- Schonert, M. et ai, GAP: Groups, Algorithms, and Programming, Lehrstuhl D fUr Mathematik, Rheinisch Westfalische Technische Hoch-schule, Aachen, Germany, third edition, 1993.
- Wensley, C. D., and Alp, M., XMOD, Crossed modules and carl-groups in GAP, version 1.3 Manual for the XMOD share package, (1996) 1-80.
- Whitehead, J. H. c., On operators in relative homotopy group, Ann. of Math., 49 (1948) 6 J 0-640.
Öz
In this paper we describe a package XMOD (Wensley and Alp,1993) of functions for computing with crossed modules, their morphisms and derivations; cat' -groups, their morphisms and sections, written using the sf GAP (Schonert , 1993) group theory programming language. We have also enumerated the isomorphism classes of cat-groups in (Alp ,1997) and (Alp, Wensley ,1997) and (Alp ,1997) We gave the application algorithms and some mathematical results on cat' -group structures in (Alp, 1998) . We also made a computational comment on pre-crossed modules, pre-cat Igroups and underlying grupoids in this paper.
Anahtar Kelimeler
Kaynakça
- Alp, M., GAP, Crossed modules and Cat61-groups: Applications of computational group theory, University of Wales, Bangor, Ph.D. Thesis, (1997) 440pp.
- Alp, M., Enumeration of Cat-groups of order 41-47, Anadolu Universitesi Fen Fakiiltesi Dergisi, Sayi 3 (1997) 79-90.
- Alp, M., Special cases of Derivations groups, Algebras, Groups and Geometries, Vo1.l5 (J 998) (to appear).
- Alp, M. and Wensley, C. D., Enumeration of Cati-groups of low order, U. W. B. preprint, 96.05, l5pp.
- Brown, R. and Higgins, P. J., On the connection between the second relative homotopy group some related space, Proc. London. Math. Soc., 36 (1978) 193-212.
- Loday, J. L., Spaces with finitely many non-trivial homotopy groups, 1.App.Algebra, 24 (1982) J 79-202.
- Schonert, M. et ai, GAP: Groups, Algorithms, and Programming, Lehrstuhl D fUr Mathematik, Rheinisch Westfalische Technische Hoch-schule, Aachen, Germany, third edition, 1993.
- Wensley, C. D., and Alp, M., XMOD, Crossed modules and carl-groups in GAP, version 1.3 Manual for the XMOD share package, (1996) 1-80.
- Whitehead, J. H. c., On operators in relative homotopy group, Ann. of Math., 49 (1948) 6 J 0-640.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 15 Ocak 2000 |
| Yayımlandığı Sayı | Yıl 2000 Sayı: 001 |
