# Crossed product of cyclic groups

Ana-Loredana Agore; Dragoş Frățilă

Czechoslovak Mathematical Journal (2010)

- Volume: 60, Issue: 4, page 889-901
- ISSN: 0011-4642

## Access Full Article

top## Abstract

top## How to cite

topAgore, Ana-Loredana, and Frățilă, Dragoş. "Crossed product of cyclic groups." Czechoslovak Mathematical Journal 60.4 (2010): 889-901. <http://eudml.org/doc/196958>.

@article{Agore2010,

abstract = {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.},

author = {Agore, Ana-Loredana, Frățilă, Dragoş},

journal = {Czechoslovak Mathematical Journal},

keywords = {cyclic groups; crossed product of groups; Chinese Remainder Theorem; cyclic groups; crossed products of groups; generators and relations; extensions of groups},

language = {eng},

number = {4},

pages = {889-901},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Crossed product of cyclic groups},

url = {http://eudml.org/doc/196958},

volume = {60},

year = {2010},

}

TY - JOUR

AU - Agore, Ana-Loredana

AU - Frățilă, Dragoş

TI - Crossed product of cyclic groups

JO - Czechoslovak Mathematical Journal

PY - 2010

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 60

IS - 4

SP - 889

EP - 901

AB - 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.

LA - eng

KW - cyclic groups; crossed product of groups; Chinese Remainder Theorem; cyclic groups; crossed products of groups; generators and relations; extensions of groups

UR - http://eudml.org/doc/196958

ER -

## References

top- Adem, A., Milgram, R. J., Cohomology of Finite Groups, 2nd Edition, Springer Berlin (2004). (2004) MR2035696
- Agore, A. L., Constructions in group theory, Dissertation University of Bucharest Bucharest (2008). (2008)
- Agore, A. L., Militaru, G., Crossed product of groups applications, Arabian J. Sci. Eng. 33 (2008), 1-17. (2008) Zbl1186.20021MR2500024
- Bechtell, H., The Theory of Groups, Addison-Wesley Publishing Company Reading (1971). (1971) Zbl0229.20001MR0284490
- Grillet, P. A., Abstract Algebra, 2nd Edition. Graduate Texts in Mathematics 242, Springer New York (2007). (2007) MR2330890
- Hölder, O., 10.1007/BF01450217, Math. Ann. 46 (1895), 321-422. (1895) MR1510888DOI10.1007/BF01450217
- Rotman, J., An introduction to the theory of groups, 4th Edition. Graduate Texts in Mathematics 148, Springer New York (1995). (1995) MR1307623
- Weibel, C., An Introduction to Homological Algebra, Cambridge Univ. Press Cambridge (1994). (1994) Zbl0797.18001MR1269324

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.