Crossed product of cyclic groups
Czechoslovak Mathematical Journal, Tome 60 (2010) no. 4, pp. 889-901
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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
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/}
}
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/