| Title:
|
Multiplication groups of free loops. I (English) |
| Author:
|
Drápal, Aleš |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
121-131 |
| . |
| Category:
|
math |
| . |
| MSC:
|
20B27 |
| MSC:
|
20N05 |
| idZBL:
|
Zbl 0904.20050 |
| idMR:
|
MR1371694 |
| DOI:
|
10.21136/CMJ.1996.127276 |
| . |
| Date available:
|
2009-09-24T09:54:35Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127276 |
| . |
| Reference:
|
[1] A. Drápal and T. Kepka: Multiplication Groups of Quasigroups and Loops I.Acta Univ. Carol. 34 (1993), 85–99. MR 1282769 |
| Reference:
|
[2] T. Evans: On multiplicative systems defined by generators and relations. I..Normal form theorem, Proc. Cambridge Philos. Soc. 47 (1951), 637–649. Zbl 0043.02001, MR 0043764, 10.1017/S0305004100027092 |
| Reference:
|
[3] T. Evans: Varieties of loops and quasigroups.Chapter I., Quasigroups and Loops: Theory and Applications, O. Chein, H. O. Pflugfelder and J. D. H. Smith (eds.), Heldermann Verlag, New York, 1990, pp. 1–26. Zbl 0721.20044, MR 1125807 |
| Reference:
|
[4] T. Kepka and M. Niemenmaa: On conjugacy classes in finite loops.Bull. Austral. Math. Soc. 38 (1988), 171–176. MR 0969906, 10.1017/S000497270002743X |
| Reference:
|
[5] T. Kepka and M. Niemenmaa: On multiplication groups of loops.J. of Algebra 135 (1990), 112–122. MR 1076080, 10.1016/0021-8693(90)90152-E |
| Reference:
|
[6] M. Niemenmaa and G. Rosenberger: On connected transversals in infinite groups.Math. Scand. 70 (1992), 172–176. MR 1189971, 10.7146/math.scand.a-12393 |
| Reference:
|
[7] J. D. H. Smith: Representation Theory of Infinite Groups and Finite Quasigroups.Les Presses de l’Université de Montréal, Montreal, 1986. Zbl 0609.20042, MR 0859373 |
| Reference:
|
[8] A. Vesanen: On connected transversals in $PSL(2,q)$.Annales Acad. Sci. Fennicae, Series A, I. Mathematica, Dissertationes 84 (1992), Helsinki. Zbl 0744.20058, MR 2714539 |
| . |
