Some remarks on simple Bol loops
Commentationes Mathematicae Universitatis Carolinae (2008)
- Volume: 49, Issue: 2, page 259-270
- ISSN: 0010-2628
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topNagy, Gábor P.. "Some remarks on simple Bol loops." Commentationes Mathematicae Universitatis Carolinae 49.2 (2008): 259-270. <http://eudml.org/doc/250485>.
@article{Nagy2008,
abstract = {In this paper we make some remarks on simple Bol loops which were motivated by questions at the LOOPS'07 conference. We also list some open problems on simple loops.},
author = {Nagy, Gábor P.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Bol loop; Bruck loop; simple loop; Bol loops; Bruck loops; simple loops},
language = {eng},
number = {2},
pages = {259-270},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks on simple Bol loops},
url = {http://eudml.org/doc/250485},
volume = {49},
year = {2008},
}
TY - JOUR
AU - Nagy, Gábor P.
TI - Some remarks on simple Bol loops
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2008
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 49
IS - 2
SP - 259
EP - 270
AB - In this paper we make some remarks on simple Bol loops which were motivated by questions at the LOOPS'07 conference. We also list some open problems on simple loops.
LA - eng
KW - Bol loop; Bruck loop; simple loop; Bol loops; Bruck loops; simple loops
UR - http://eudml.org/doc/250485
ER -
References
top- Aschbacher M., 10.1016/j.jalgebra.2005.03.005, J. Algebra 288 1 99-136 (2005). (2005) Zbl1090.20037MR2138373DOI10.1016/j.jalgebra.2005.03.005
- Aschbacher M., 10.1016/j.jalgebra.2005.01.058, J. Algebra 300 2 396-432 (2006). (2006) Zbl1103.20063MR2228204DOI10.1016/j.jalgebra.2005.01.058
- Aschbacher M., Kinyon M.K., Phillips J.D., 10.1090/S0002-9947-05-03778-5, Trans. Amer. Math. Soc. 358 7 3061-3075 (2005). (2005) MR2216258DOI10.1090/S0002-9947-05-03778-5
- Baer R., Nets and groups, Trans. Amer. Math. Soc. 46 110-141 (1939). (1939) Zbl0022.01105MR0000035
- Bruck R.H., A Survey of Binary Systems, Springer, Berlin, 1958. Zbl0141.01401MR0093552
- Cameron P.J., Korchmáros G., 10.1112/blms/25.1.1, Bull. London Math. Soc. 25 1 (1993), 1-6. (1993) MR1190356DOI10.1112/blms/25.1.1
- Fischer B., 10.1007/BF01111162, Math. Z. 83 267-303 (1964). (1964) Zbl0119.26201MR0160845DOI10.1007/BF01111162
- Glauberman G., 10.1016/0021-8693(64)90017-1, J. Algebra 1 374-396 (1964). (1964) Zbl0123.01502MR0175991DOI10.1016/0021-8693(64)90017-1
- Grishkov A.N., Zavarnitsine A.V., 10.1017/S0305004105008388, Math. Proc. Cambridge Philos. Soc. 139 (2005), 1 41-57. (2005) Zbl1091.20039MR2155504DOI10.1017/S0305004105008388
- Hall J.I., Central automorphisms of Latin square designs and loops, Quasigroups and Related Systems 15 19-46 (2007). (2007) MR2379124
- Hofmann K.H., Strambach K., Topological and analytic loops, Quasigroups and Loops: Theory and Applications, pp.205-262, Sigma Ser. Pure Math. 8, Heldermann, Berlin, 1990. Zbl0747.22004MR1125815
- Kiechle H., 10.1007/b83276, Lecture Notes in Mathematics 1778, Springer, Berlin, 2002. Zbl0997.20059MR1899153DOI10.1007/b83276
- Kiechle H., Kinyon M.K., Infinite simple Bol loops, Comment. Math. Univ. Carolin. 45 2 275-278 (2004). (2004) Zbl1101.20038MR2075275
- Kinyon M.K., LoopForum communication, 2007.
- Liebeck M.W., 10.1017/S0305004100067025, Math. Proc. Cambridge Philos. Soc. 102 33-47 (1987). (1987) Zbl0622.20061MR0886433DOI10.1017/S0305004100067025
- Loginov E.K., 10.1080/00927870601041425, Comm. Algebra 35 1 133-144 (2007). (2007) Zbl1136.20054MR2287556DOI10.1080/00927870601041425
- Nagy G.P., Burnside problems for Moufang and Bol loops of small exponent, Acta Sci. Math. (Szeged) 67 3-4 687-696 (2001). (2001) Zbl0995.20049MR1876459
- Nagy G.P., A class of simple proper Bol loops, submitted for publication; download from http://arxiv.org/abs/math.GR/0703919. Zbl1167.20038MR2429915
- Nagy G.P., A class of finite simple Bol loops of exponent , Trans. Am. Math. Soc., to appear; download from http://arxiv.org/abs/0709.4544v1. MR2515813
- Nagy P.T., Strambach K., Loops in Group Theory and Lie Theory, Walter de Gruyter, Berlin, New York, 2002. Zbl1050.22001MR1899331
- Robinson D.A., Some open questions on Bol loops, mimeographed notes, Oberwolfach Conference on Bol and Moufang Loops, 1976.
- Thompson J., 10.1073/pnas.45.4.578, Proc. Nat. Acad. Sci. U.S.A. 45 578-581 (1959). (1959) Zbl0086.25101MR0104731DOI10.1073/pnas.45.4.578
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