Geodesic
Crossed product of cyclic groups
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 889-901 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.
All crossed products of two cyclic groups are explicitly described using generators and relations. A necessary and sufficient condition for an extension of a group by a group to be a cyclic group is given.
Classification : 20B05, 20B35, 20D06, 20D40, 20E22
Keywords: cyclic groups; crossed product of groups; Chinese Remainder Theorem 
@article{CMJ_2010_60_4_a0,
     author = {Agore, Ana-Loredana and Fr\u{a}țil\u{a}, Drago\c{s}},
     title = {Crossed product of cyclic groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {889--901},
     year = {2010},
     volume = {60},
     number = {4},
     mrnumber = {2738954},
     zbl = {1208.20030},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a0/}
}
TY  - JOUR
AU  - Agore, Ana-Loredana
AU  - Frățilă, Dragoş
TI  - Crossed product of cyclic groups
JO  - Czechoslovak Mathematical Journal
PY  - 2010
SP  - 889
EP  - 901
VL  - 60
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a0/
LA  - en
ID  - CMJ_2010_60_4_a0
ER  - 
%0 Journal Article
%A Agore, Ana-Loredana
%A Frățilă, Dragoş
%T Crossed product of cyclic groups
%J Czechoslovak Mathematical Journal
%D 2010
%P 889-901
%V 60
%N 4
%U http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a0/
%G en
%F CMJ_2010_60_4_a0
Agore, Ana-Loredana; Frățilă, Dragoş. Crossed product of cyclic groups. Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 889-901. http://geodesic.mathdoc.fr/item/CMJ_2010_60_4_a0/

[1] Adem, A., Milgram, R. J.: Cohomology of Finite Groups, 2nd Edition. Springer Berlin (2004). | MR

[2] Agore, A. L.: Constructions in group theory. Dissertation University of Bucharest Bucharest (2008).

[3] Agore, A. L., Militaru, G.: Crossed product of groups applications. Arabian J. Sci. Eng. 33 (2008), 1-17. | MR | Zbl

[4] Bechtell, H.: The Theory of Groups. Addison-Wesley Publishing Company Reading (1971). | MR | Zbl

[5] Grillet, P. A.: Abstract Algebra, 2nd Edition. Graduate Texts in Mathematics 242. Springer New York (2007). | MR

[6] Hölder, O.: Bildung zusammengesetzter Gruppen. Math. Ann. 46 (1895), 321-422. | DOI | MR

[7] Rotman, J.: An introduction to the theory of groups, 4th Edition. Graduate Texts in Mathematics 148. Springer New York (1995). | MR

[8] Weibel, C.: An Introduction to Homological Algebra. Cambridge Univ. Press Cambridge (1994). | MR | Zbl