On finite loops and their inner mapping groups
Commentationes Mathematicae Universitatis Carolinae (2004)
- Volume: 45, Issue: 2, page 341-347
- ISSN: 0010-2628
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topNiemenmaa, Markku. "On finite loops and their inner mapping groups." Commentationes Mathematicae Universitatis Carolinae 45.2 (2004): 341-347. <http://eudml.org/doc/249349>.
@article{Niemenmaa2004,
abstract = {In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.},
author = {Niemenmaa, Markku},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loop; group; connected transversals; finite loops; inner mapping groups; connected transversals},
language = {eng},
number = {2},
pages = {341-347},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On finite loops and their inner mapping groups},
url = {http://eudml.org/doc/249349},
volume = {45},
year = {2004},
}
TY - JOUR
AU - Niemenmaa, Markku
TI - On finite loops and their inner mapping groups
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2004
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 45
IS - 2
SP - 341
EP - 347
AB - In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.
LA - eng
KW - loop; group; connected transversals; finite loops; inner mapping groups; connected transversals
UR - http://eudml.org/doc/249349
ER -
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