On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center
Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 253-261
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Using a construction of commutative loops with metacyclic inner mapping group and trivial center described by A. Drápal, we enumerate presumably all such loops of order $pq$, for $p$ and $q$ primes.
Using a construction of commutative loops with metacyclic inner mapping group and trivial center described by A. Drápal, we enumerate presumably all such loops of order $pq$, for $p$ and $q$ primes.
Classification :
20N05
Keywords: commutative loops; construction of loops; matrices over finite fields; quadratic extensions
Keywords: commutative loops; construction of loops; matrices over finite fields; quadratic extensions
@article{CMUC_2010_51_2_a9,
author = {Jedli\v{c}ka, P\v{r}emysl},
title = {On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {253--261},
year = {2010},
volume = {51},
number = {2},
mrnumber = {2682478},
zbl = {1211.20060},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2010_51_2_a9/}
}
TY - JOUR AU - Jedlička, Přemysl TI - On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center JO - Commentationes Mathematicae Universitatis Carolinae PY - 2010 SP - 253 EP - 261 VL - 51 IS - 2 UR - http://geodesic.mathdoc.fr/item/CMUC_2010_51_2_a9/ LA - en ID - CMUC_2010_51_2_a9 ER -
Jedlička, Přemysl. On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center. Commentationes Mathematicae Universitatis Carolinae, Tome 51 (2010) no. 2, pp. 253-261. http://geodesic.mathdoc.fr/item/CMUC_2010_51_2_a9/