On finite commutative IP-loops with elementary abelian inner mapping groups of order
Commentationes Mathematicae Universitatis Carolinae (2020)
- Volume: 61, Issue: 4, page 547-551
- ISSN: 0010-2628
Access Full Article
topAbstract
topHow to cite
topNiemenmaa, Markku. "On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$." Commentationes Mathematicae Universitatis Carolinae 61.4 (2020): 547-551. <http://eudml.org/doc/297275>.
@article{Niemenmaa2020,
abstract = {We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^5$ are centrally nilpotent of class at most two.},
author = {Niemenmaa, Markku},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {loop; elementary abelian group; inner mapping group},
language = {eng},
number = {4},
pages = {547-551},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$},
url = {http://eudml.org/doc/297275},
volume = {61},
year = {2020},
}
TY - JOUR
AU - Niemenmaa, Markku
TI - On finite commutative IP-loops with elementary abelian inner mapping groups of order $p^5$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2020
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 61
IS - 4
SP - 547
EP - 551
AB - We show that finite commutative inverse property loops with elementary abelian inner mapping groups of order $p^5$ are centrally nilpotent of class at most two.
LA - eng
KW - loop; elementary abelian group; inner mapping group
UR - http://eudml.org/doc/297275
ER -
References
top- Bruck R. H., 10.1090/S0002-9947-1946-0017288-3, Trans. Amer. Math. Soc. 60 (1946), 245–354. Zbl0061.02201MR0017288DOI10.1090/S0002-9947-1946-0017288-3
- Csörgö P., 10.1007/s00013-006-1379-5, Arch. Math. (Basel) 86 (2006), no. 6, 499–516. MR2241599DOI10.1007/s00013-006-1379-5
- Csörgö P., 10.1016/j.ejc.2005.12.002, European J. Combin. 28 (2007), no. 3, 858–867. Zbl1149.20053MR2300766DOI10.1016/j.ejc.2005.12.002
- Drápal A., Vojtěchovský P., 10.1016/j.ejc.2007.10.001, European J. Combin. 29 (2008), no. 7, 1662–1681. MR2431758DOI10.1016/j.ejc.2007.10.001
- Leppälä E., Niemenmaa M., On finite commutative loops which are centrally nilpotent, Comment. Math. Univ. Carolin. 56 (2015), no. 2, 139–143. Zbl1339.20064MR3338728
- Niemenmaa M., 10.1017/S0004972708001093, Bull. Aust. Math. Soc. 79 (2009), no. 1, 109–114. Zbl1167.20039MR2486887DOI10.1017/S0004972708001093
- Niemenmaa M., On finite commutative IP-loops with elementary abelian inner mapping groups of order , Comment. Math. Univ. Carolin. 51 (2010), no. 4, 559–563. MR2858260
- Niemenmaa M., On dihedral -groups as inner mapping groups of finite commutative inverse property loops, Comment. Math. Univ. Carolin. 59 (2018), no. 2, 189–193. MR3815684
- Niemenmaa M., Kepka T., 10.1016/0021-8693(90)90152-E, J. Algebra 135 (1990), no. 1, 112–122. Zbl0706.20046MR1076080DOI10.1016/0021-8693(90)90152-E
- Niemenmaa M., Kepka T., 10.1017/S0004972700016166, Bull. Austral. Math. Soc. 49 (1994), no. 1, 121–128. Zbl0799.20020MR1262682DOI10.1017/S0004972700016166
- Niemenmaa M., Rytty M., Connected transversals and multiplication groups of loops, Quasigroups Related Systems 15 (2007), no. 1, 95–107. Zbl1133.20009MR2379127
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.