|
Commutants of Bol loops of odd order
Author(s):
Michael
K.
Kinyon;
J.
D.
Phillips
Journal:
Proc. Amer. Math. Soc.
132
(2004),
617-619.
MSC (2000):
Primary 20N05
Posted:
October 3, 2003
MathSciNet review:
2019935
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this note we show that the commutant of a Bol loop of odd order is a subloop.
References:
-
- 1.
- R. H. Bruck, A Survey of Binary Systems, Ergebnisse der Mathematik und ihrer Grenzgebiete, Neue Folge, Heft 20, Reihe: Gruppentheorie, Springer-Verlag, Berlin, 1958. MR 20:76
- 2.
- S. Doro, Simple Moufang loops, Math. Proc. Cambridge Philos. Soc. 83 (1978) 377-392. MR 58:11195
- 3.
- T. Foguel, M. K. Kinyon, and J. D. Phillips, Bol loops and twisted subgroups of odd order, submitted.
- 4.
- G. Glauberman, On loops of odd order I, J. Algebra 1 (1964) 374-396. MR 31:267
- 5.
- G. E. Moorhouse, Bol loops of order
 , at URL: http://math.uwyo.edu/~moorhous/ pub/bol/bol16.html - 6.
- H. O. Pflugfelder, Quasigroups and Loops: Introduction, Sigma Series in Pure Math. 7, Heldermann Verlag, Berlin, 1990. MR 93g:20132
- 7.
- W. W. McCune, OTTER 3.0 Reference Manual and Guide, Technical Report ANL-94/6, Argonne National Laboratory, 1994, or see the URL: http://www-fp.mcs.anl.gov/ division/software/
- 8.
- D. A. Robinson, Bol loops, Trans. Amer. Math. Soc. 123 (1966) 341-354. MR 33:2755
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
20N05
Retrieve articles in all Journals with
MSC (2000):
20N05
Additional Information:
Michael
K.
Kinyon
Affiliation:
Department of Mathematical Sciences, Indiana University South Bend, South Bend, Indiana 46634
Email:
mkinyon@iusb.edu
J.
D.
Phillips
Affiliation:
Department of Mathematics and Computer Science, Wabash College, Crawfordsville, Indiana 47933
Email:
phillipj@wabash.edu
DOI:
10.1090/S0002-9939-03-07211-3
PII:
S 0002-9939(03)07211-3
Keywords:
Bol loop,
commutant
Received by editor(s):
July 8, 2002
Posted:
October 3, 2003
Communicated by:
Lance W. Small
Copyright of article:
Copyright
2003,
American Mathematical Society
|
