Moufang loops of order coprime to three that cyclically extend groups of dihedral type

Drápal, Aleš. "Moufang loops of order coprime to three that cyclically extend groups of dihedral type." Commentationes Mathematicae Universitatis Carolinae 57.4 (2016): 453-500. <http://eudml.org/doc/287554>.

@article{Drápal2016,
abstract = {This paper completely solves the isomorphism problem for Moufang loops $Q = GC$ where $G\unlhd Q$ is a noncommutative group with cyclic subgroup of index two and $|Z(G)| \le 2$, $C$ is cyclic, $G\cap C = 1$, and $Q$ is finite of order coprime to three.},
author = {Drápal, Aleš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {dihedral group; Moufang loop; cyclic extension; semidirect product},
language = {eng},
number = {4},
pages = {453-500},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Moufang loops of order coprime to three that cyclically extend groups of dihedral type},
url = {http://eudml.org/doc/287554},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Drápal, Aleš
TI - Moufang loops of order coprime to three that cyclically extend groups of dihedral type
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 4
SP - 453
EP - 500
AB - This paper completely solves the isomorphism problem for Moufang loops $Q = GC$ where $G\unlhd Q$ is a noncommutative group with cyclic subgroup of index two and $|Z(G)| \le 2$, $C$ is cyclic, $G\cap C = 1$, and $Q$ is finite of order coprime to three.
LA - eng
KW - dihedral group; Moufang loop; cyclic extension; semidirect product
UR - http://eudml.org/doc/287554
ER -