Katharina
Artic

# On conjugacy closed loops and conjugacy closed loop folders

RWTH Aachen University
2015
R.
Artzy

# On automorphic-inverse properties in loops

Proc. Amer. Math. Soc.
1959
10
588–591
0002-9939
0107674 (21 #6397)
20.00
H. Minc
Proceedings of the American Mathematical Society
Dylene Agda Souza
De Barros
Alexander
Grishkov
Petr
Vojtěchovský

# Commutative automorphic loops of order p^3

J. Algebra Appl.
2012
11
5
1250100, 15
0219-4988
2983192
20N05 (20G40)
Ágota Figula
http://dx.doi.org/10.1142/S0219498812501009
10.1142/S0219498812501009
Journal of Algebra and its Applications
Richard Hubert
Bruck

# A survey of binary systems

Springer Verlag
1958
Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge, Heft 20. Reihe: Gruppentheorie

    Berlin

0093552 (20 #76)
20.00
L. J. Paige
viii+185
R. H.
Bruck
Lowell J.
Paige

# Loops whose inner mappings are automorphisms

Ann. of Math. (2)
1956
63
308–323
0003-486X
0076779
20.0X
R. Moufang
Annals of Mathematics. Second Series
O.
Chein
H. O.
Pflugfelder
J. D. H.
Smith

# Quasigroups and loops: theory and applications

Heldermann Verlag
1990
8
Sigma Series in Pure Mathematics

    Berlin

3-88538-008-0
1125806 (93g:20133)
20N05 (20-06)
D. A. Robinson
xii+568
Charles J.
Colbourn
Alexander
Rosa

# Triple systems

The Clarendon Press Oxford University Press
1999
Oxford Mathematical Monographs

    New York

0-19-853576-7
1843379 (2002h:05024)
05B07 (05-02)
Elizabeth J. Billington
xvi+560
Piroska
Csörgő
Aleš
Drápal

# Left conjugacy closed loops of nilpotency class two

Results Math.
2005
47
3-4
242–265
1422-6383
2153496 (2006b:20095)
20N05
Huberta Lausch
Results in Mathematics. Resultate der Mathematik
Daniel
Daly
Petr
Vojtěchovský

# Enumeration of nilpotent loops via cohomology

J. Algebra
2009
322
11
4080–4098
0021-8693
2556139 (2011e:20098)
20N05 (20J99)
Yu. M. Movsisyan
http://dx.doi.org/10.1016/j.jalgebra.2009.03.042
JALGA4
10.1016/j.jalgebra.2009.03.042
Journal of Algebra
Aleš
Drápal

# Cyclic and dihedral constructions of even order

Comment. Math. Univ. Carolin.
2003
44
4
593–614
MR2062876 (2005d:20038)
20D60 (05B15)
Thomas Michael Keller
Commentationes Mathematicae Universitatis Carolinae
Aleš
Drápal
Petr
Vojtěchovský

# Moufang loops that share associator and three quarters of their multiplication tables

Rocky Mountain J. Math.
2006
36
2
425–455
0035-7596
2234814 (2007d:20114)
20N05 (05B15)
Orin Chein
http://dx.doi.org/10.1216/rmjm/1181069461
RMJMAE
10.1216/rmjm/1181069461
The Rocky Mountain Journal of Mathematics
Ferenc
Fenyves

# Extra loops. II. On loops with identities of Bol-Moufang type

Publ. Math. Debrecen
1969
16
187–192
0033-3883
0262409 (41 #7017)
20.95
D. A. Robinson
Publicationes Mathematicae Debrecen
Edgar G.
Goodaire
Sean
May
Maitreyi
Raman

# The Moufang loops of order less than 64

Nova Science Publishers Inc.
1999

    Commack, NY

1-56072-659-8
1689624 (2000a:20147)
20N05
xviii+287
Alexander
Grishkov
Michael
Kinyon
Gábor P.
Nagy

# Solvability of commutative automorphic loops

Proc. Amer. Math. Soc.
2014
142
9
3029–3037
0002-9939
3223359
20N05 (17B99)
J. D. Phillips
http://dx.doi.org/10.1090/S0002-9939-2014-12053-3
10.1090/S0002-9939-2014-12053-3
Proceedings of the American Mathematical Society
Mark T.
Jacobson
Peter
Matthews

# Generating uniformly distributed random Latin squares

J. Combin. Des.
1996
4
6
405–437
1063-8539
1410617 (98b:05021)
05B15 (60J10)
Lars Døvling Andersen
http://dx.doi.org/10.1002/(SICI)1520-6610(1996)4:6<405::AID-JCD3>3.0.CO;2-J
10.1002/(SICI)1520-6610(1996)4:6<405::AID-JCD3>3.0.CO;2-J
Journal of Combinatorial Designs
P{\v{r}}emysl
Jedlička
Michael
Kinyon
Petr
Vojtěchovský

# Nilpotency in automorphic loops of prime power order

J. Algebra
2012
350
64–76
0021-8693
2859875
20N05
Mohammad Shahryari
http://dx.doi.org/10.1016/j.jalgebra.2011.09.034
JALGA4
10.1016/j.jalgebra.2011.09.034
Journal of Algebra
Kenneth W.
Johnson
Michael K.
Kinyon
Gábor P.
Nagy
Petr
Vojtěchovský

# Searching for small simple automorphic loops

LMS J. Comput. Math.
2011
14
200–213
1461-1570
2831230
20N05 (20B15 20B40)
Tuval S. Foguel
http://dx.doi.org/10.1112/S1461157010000173
10.1112/S1461157010000173
LMS Journal of Computation and Mathematics
Michael K.
Kinyon
Kenneth
Kunen
J. D.
Phillips

# Every diassociative A-loop is Moufang

Proc. Amer. Math. Soc.
2002
130
3
619–624
0002-9939
1866009 (2002k:20124)
20N05 (68T15)
Orin Chein
http://dx.doi.org/10.1090/S0002-9939-01-06090-7
PAMYAR
10.1090/S0002-9939-01-06090-7
Proceedings of the American Mathematical Society
Michael K.
Kinyon
Kenneth
Kunen
J. D.
Phillips
Petr
Vojtěchovský

# The structure of automorphic loops

Trans. Amer. Math. Soc.
2016
368
12
8901–8927
0002-9947
3551593
20N05
http://dx.doi.org/10.1090/tran/6622
TAMTAM
10.1090/tran/6622
Transactions of the American Mathematical Society
Michael K.
Kinyon
Gábor P.
Nagy
Petr
Vojtěchovský

# Bol loops and Bruck loops of order pq

2015

preprint

Kenneth
Kunen

# The structure of conjugacy closed loops

Trans. Amer. Math. Soc.
2000
352
6
2889–2911
0002-9947
1615991 (2000j:20132)
20N05 (03C05)
Edgar G. Goodaire
http://dx.doi.org/10.1090/S0002-9947-00-02350-3
TAMTAM
10.1090/S0002-9947-00-02350-3
Transactions of the American Mathematical Society
Martin W.
Liebeck

# The classification of finite simple Moufang loops

Math. Proc. Cambridge Philos. Soc.
1987
102
1
33–47
0305-0041
886433 (88g:20146)
20N05
Karl H. Robinson
http://dx.doi.org/10.1017/S0305004100067025
MPCPCO
10.1017/S0305004100067025
Mathematical Proceedings of the Cambridge Philosophical Society
G. Eric
Moorhouse

# Bol loops of small order

http://www.uwyo.edu/moorhouse/pub/bol/

Gábor P.
Nagy

# A class of simple proper Bol loops

Manuscripta Math.
2008
127
1
81–88
0025-2611
2429915 (2009g:20149)
20N05
Ramiro Carrillo-Catalán
http://dx.doi.org/10.1007/s00229-008-0188-5
MSMHB2
10.1007/s00229-008-0188-5
Manuscripta Mathematica
Gábor P.
Nagy
Petr
Vojtěchovský

# Octonions, simple Moufang loops and triality

Quasigroups Related Systems
2003
10
65–94
1561-2848
1998692 (2004f:20118)
20N05 (17A75)
Orin Chein
Quasigroups and Related Systems
Gábor P.
Nagy
Petr
Vojtěchovský

# The Moufang loops of order 64 and 81

J. Symbolic Comput.
2007
42
9
871–883
0747-7171
2355056 (2009d:20155)
20N05 (20D15)
Chris A. Rowley
http://dx.doi.org/10.1016/j.jsc.2007.06.004
10.1016/j.jsc.2007.06.004
Journal of Symbolic Computation
Hala O.
Pflugfelder

# Quasigroups and loops: introduction

Heldermann Verlag
1990
7
Sigma Series in Pure Mathematics

    Berlin

3-88538-007-2
1125767 (93g:20132)
20N05 (20-01)
D. A. Robinson
viii+147
J. D.
Phillips
Petr
Vojtěchovský

# The varieties of loops of Bol-Moufang type

Algebra Universalis
2005
54
3
259–271
0002-5240
2219409 (2007b:20147)
20N05
A. Schleiermacher
http://dx.doi.org/10.1007/s00012-005-1941-1
AGUVA3
10.1007/s00012-005-1941-1
Algebra Universalis
M.
Slattery
A.
Zenisek

# Moufang loops of order 243

Commentationes Mathematicae Universitatis Carolinae
2012
53
3
423–428
Petr
Vojtěchovský

# Toward the classification of Moufang loops of order 64

European J. Combin.
2006
27
3
444–460
0195-6698
2206479 (2006k:20136)
20N05
Orin Chein
http://dx.doi.org/10.1016/j.ejc.2004.10.003
10.1016/j.ejc.2004.10.003
European Journal of Combinatorics
Petr
Vojtěchovský

# Three lectures on automorphic loops

Quasigroups Related Systems
2015
23
1
129–163
1561-2848
3353114
20N05
Ágota Figula
Quasigroups and Related Systems
Robert L.
Wilson Jr.

# Quasidirect products of quasigroups

Comm. Algebra
1975
3
9
835–850
0092-7872
0376937 (51 #13112)
20N05
D. A. Robinson
Communications in Algebra