Crossed product of cyclic groups
Ana-Loredana Agore; Dragoş Frățilă
Czechoslovak Mathematical Journal (2010)
- Volume: 60, Issue: 4, page 889-901
- ISSN: 0011-4642
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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
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