Commutative subloop-free loops

Martin Beaudry; Louis Marchand

Commentationes Mathematicae Universitatis Carolinae (2011)

  • Volume: 52, Issue: 4, page 473-484
  • ISSN: 0010-2628

Abstract

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We describe, in a constructive way, a family of commutative loops of odd order, n ≥ 7 , which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group 𝒜 n .

How to cite

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Beaudry, Martin, and Marchand, Louis. "Commutative subloop-free loops." Commentationes Mathematicae Universitatis Carolinae 52.4 (2011): 473-484. <http://eudml.org/doc/246242>.

@article{Beaudry2011,
abstract = {We describe, in a constructive way, a family of commutative loops of odd order, $n\ge 7$, which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group $\mathcal \{A\}_n$.},
author = {Beaudry, Martin, Marchand, Louis},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loops; multiplication group; alternating group; commutative loops; multiplication groups; alternating groups; partial Latin squares},
language = {eng},
number = {4},
pages = {473-484},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Commutative subloop-free loops},
url = {http://eudml.org/doc/246242},
volume = {52},
year = {2011},
}

TY - JOUR
AU - Beaudry, Martin
AU - Marchand, Louis
TI - Commutative subloop-free loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2011
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 52
IS - 4
SP - 473
EP - 484
AB - We describe, in a constructive way, a family of commutative loops of odd order, $n\ge 7$, which have no nontrivial subloops and whose multiplication group is isomorphic to the alternating group $\mathcal {A}_n$.
LA - eng
KW - loops; multiplication group; alternating group; commutative loops; multiplication groups; alternating groups; partial Latin squares
UR - http://eudml.org/doc/246242
ER -

References

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