Possible orders of nonassociative Moufang loops

Orin Chein; Andrew Rajah

Commentationes Mathematicae Universitatis Carolinae (2000)

  • Volume: 41, Issue: 2, page 237-244
  • ISSN: 0010-2628

Abstract

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The paper surveys the known results concerning the question: “For what values of n does there exist a nonassociative Moufang loop of order n ?” Proofs of the newest results for n odd, and a complete resolution of the case n even are also presented.

How to cite

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Chein, Orin, and Rajah, Andrew. "Possible orders of nonassociative Moufang loops." Commentationes Mathematicae Universitatis Carolinae 41.2 (2000): 237-244. <http://eudml.org/doc/248578>.

@article{Chein2000,
abstract = {The paper surveys the known results concerning the question: “For what values of $n$ does there exist a nonassociative Moufang loop of order $n$?” Proofs of the newest results for $n$ odd, and a complete resolution of the case $n$ even are also presented.},
author = {Chein, Orin, Rajah, Andrew},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Moufang loop; order; nonassociative; orders; nonassociative Moufang loops},
language = {eng},
number = {2},
pages = {237-244},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Possible orders of nonassociative Moufang loops},
url = {http://eudml.org/doc/248578},
volume = {41},
year = {2000},
}

TY - JOUR
AU - Chein, Orin
AU - Rajah, Andrew
TI - Possible orders of nonassociative Moufang loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2000
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 41
IS - 2
SP - 237
EP - 244
AB - The paper surveys the known results concerning the question: “For what values of $n$ does there exist a nonassociative Moufang loop of order $n$?” Proofs of the newest results for $n$ odd, and a complete resolution of the case $n$ even are also presented.
LA - eng
KW - Moufang loop; order; nonassociative; orders; nonassociative Moufang loops
UR - http://eudml.org/doc/248578
ER -

References

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