On commutative loops of order with metacyclic inner mapping group and trivial center
Commentationes Mathematicae Universitatis Carolinae (2010)
- Volume: 51, Issue: 2, page 253-261
- ISSN: 0010-2628
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topJedlička, Přemysl. "On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center." Commentationes Mathematicae Universitatis Carolinae 51.2 (2010): 253-261. <http://eudml.org/doc/37757>.
@article{Jedlička2010,
abstract = {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.},
author = {Jedlička, Přemysl},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {commutative loops; construction of loops; matrices over finite fields; quadratic extensions; finite loops; commutative loops; inner mapping groups; quadratic extensions},
language = {eng},
number = {2},
pages = {253-261},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On commutative loops of order $pq$ with metacyclic inner mapping group and trivial center},
url = {http://eudml.org/doc/37757},
volume = {51},
year = {2010},
}
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
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 51
IS - 2
SP - 253
EP - 261
AB - 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.
LA - eng
KW - commutative loops; construction of loops; matrices over finite fields; quadratic extensions; finite loops; commutative loops; inner mapping groups; quadratic extensions
UR - http://eudml.org/doc/37757
ER -
References
top- Drápal A., A class of commutative loops with metacyclic inner mapping groups, Comment. Math. Univ. Carolin. 49,3 (2008), 357–382. MR2490433
- Jedlička P., Simon D., Commutative automorphic loops of order , preprint.
- Nagy G., Vojtěchovský P., LOOPS: Computing with quasigroups and loops, version 2.1.0, package for GAP, http://www.math.du.edu/loops.
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