The free commutative automorphic -generated loop of nilpotency class
Dylene Agda Souza de Barros; Alexander Grishkov; Petr Vojtěchovský
Commentationes Mathematicae Universitatis Carolinae (2012)
- Volume: 53, Issue: 3, page 321-336
- ISSN: 0010-2628
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topBarros, Dylene Agda Souza de, Grishkov, Alexander, and Vojtěchovský, Petr. "The free commutative automorphic $2$-generated loop of nilpotency class $3$." Commentationes Mathematicae Universitatis Carolinae 53.3 (2012): 321-336. <http://eudml.org/doc/246517>.
@article{Barros2012,
abstract = {A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic $2$-generated loop of nilpotency class $3$. It has dimension $8$ over the integers.},
author = {Barros, Dylene Agda Souza de, Grishkov, Alexander, Vojtěchovský, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {free commutative automorphic loop; automorphic loop; associator calculus; free commutative automorphic loops; loops of nilpotency class 3; inner mappings; associators},
language = {eng},
number = {3},
pages = {321-336},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The free commutative automorphic $2$-generated loop of nilpotency class $3$},
url = {http://eudml.org/doc/246517},
volume = {53},
year = {2012},
}
TY - JOUR
AU - Barros, Dylene Agda Souza de
AU - Grishkov, Alexander
AU - Vojtěchovský, Petr
TI - The free commutative automorphic $2$-generated loop of nilpotency class $3$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2012
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 53
IS - 3
SP - 321
EP - 336
AB - A loop is automorphic if all its inner mappings are automorphisms. We construct the free commutative automorphic $2$-generated loop of nilpotency class $3$. It has dimension $8$ over the integers.
LA - eng
KW - free commutative automorphic loop; automorphic loop; associator calculus; free commutative automorphic loops; loops of nilpotency class 3; inner mappings; associators
UR - http://eudml.org/doc/246517
ER -
References
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- Kinyon M.K., Kunen K., Phillips J.D., Vojtěchovský P., The structure of automorphic loops, in preparation.
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