References
- Aschbacher , M. 1998 . Near subgroups of finite groups . J. Group Theory , 1 : 113 – 129 .
- Baer , R. 1939 . Nets and groups I . Trans. Amer. Math. Soc , 46 : 110 – 141 .
- Birkenmeier , G.F. , Davis , C.B. , Reeves , K.J. and Xiao , Sihai . 1993 . Is a semidirect product of groups necessarily a group? . Proc. Amer. Math. Soc , 118 : 689 – 692 .
- Birkenmeier , G.F. and Xiao , Sihai . 1995 . Loops which are semidirect products of groups . Comm. Algebra , 23 : 81 – 95 .
- Bruck , R.H. 1966 . A Survey of Binary Systems , New York : Springer .
- Chein , O. , Pflugfelder , H.O. and Smith , J.D.H. 1990 . Quasigroups and Loops: Theory and Applications , Vol. 8 , Berlin : Heldermann Verlag . Sigma Series in Pure Math
- Eilenberg , S. and MacLane , S. 1947 . Algebraic cohomology groups and loops . Duke. Math. J , 14 : 435 – 463 .
- Fenyves , F. 1968 . Extra loops I . Publ. Math. Debrecen , 15 : 235 – 238 .
- Foguel , T. and Ungar , A.A. 1968 . Involutory decomposition of groups into twisted subgroups and subgroups . J.Group Theory , 15 to appear
- Friedman , Y. and Ungar , A.A. 1994 . Gyrosemidirect product structure of bounded symmetric domains . Res. Math , 26 : 28 – 31 .
- Glauberman , G. 1964 . On loops of odd order . J.Algebra , 1 : 374 – 396 .
- Goodaire , E.G. and Robinson , D.A. 1994 . Semi-direct products and Bol loop . Demonstratio Math , 27 ( 3-4 ) : 573 – 588 .
- Helgason , S. 1978 . Differential Geometry, Lie Groups, and Symmetric Spaces , New York : Academic Press .
- Im , B. “ K-loops and their generalizations ” . In Beiträge zur Geometric und Algebra , Vol. 23 , Techn. Univ . Muenchen Report TUM M9312
- Jajcay , R. 1994 . A new product of groups . European. J. Combin , 15 ( 3 ) : 251 – 252 .
- Johnson , K.W. and Leedham-Green , C.R. 1990 . Loop cohomology . Czech. Math. J , 40 ( 115 ) : 182 – 194 .
- Karzel , H. and Wofelscheid , H. 1993 . Groups with an involutory antiautomorphism and K-loops; application to space-time-world and hyperbolic geometry I . Res. Math , 23 ( 115 ) : 338 – 354 .
- Kiechle , H. 1998 . Theory of K-loops , Fachbercich Mathematik dér Universität Hamburg . Habilitationsschrift
- Kiechle , H. and Konrad , A. The structure group of certain k-loops, Beiträge zur Geometric und Algebra , Vol. 33 , Techn. Univ . Muenchen Report TUM M9509
- Kikkawa , M. 1975 . Geometry of homogeneous Lie loops . Hiroshima Math .J , 5 : 141 – 179 .
- Kinyon M.K. Ungar A.A. The gyrostructurc of the complex unit disk S submitted
- Krammer , W. and Urbantke , H.K. 1998 . k-loops, gyrogroups and symmetric spaces . Res. Math , 33 : 310 – 327 .
- Kreuzer , A. 1998 . Inner mappings of Bruck loops . Math. Proc. Cambr. Phil. Soc , 123 : 53 – 57 .
- Kreuzer , A. and Wefelscheid , H. 1994 . On Kloops of finite order . Res. Math , 25 : 79 – 102 .
- Lal , R. 1996 . Transversals in groups . J. Algebra , 181 : 70 – 81 .
- Nagy , P. and Strambach , K. 1994 . Loops as invariant sections in groups, and their geometry . Can. J. Math , 46 : 1027 – 1056 .
- Niemenmaa , M. and Kepka , T. 1990 . On multiplication groups of loops . J. Algebra , 135 : 112 – 122 .
- Pflugfelder , H.O. 1990 . Quasigroups and Loops: An Introduction , Vol. 7 , Berlin : Heldermann Verlag . Sigma Series in Pure Math
- Phillips , J.D. 1997 . Quotients of groups . Tamkang J. Math , 28 : 271 – 275 .
- Phillips , J.D. 1997 . Right quotients of groups . Comm. Alg , 25 : 1341 – 1345 .
- Robinson , D.A. 1964 . “ Bol loops ” . In Ph.D. Dissertation , Univ. Wisconsin .
- Ròzga , K.R. 1964 . On central extensions of gyrocommutative gyrogroups . Pacific J. Math , to appear
- Sabinin , L.V. 1972 . On the equivalence of categories of loops and homogeneous spaces . Soviet Math. Dokl , 13 : 970 – 974 .
- Sabinin , L.V. , Sabinina , L.L. and Sbitneva , L. 1998 . On the notion of gyrogroup . Aeq. Math , 13
- Sharma , B.L. 1976 . Left loops which satisfy the left Bol identity . Proc. Amer. Math. Soc , 61 : 189 – 195 .
- Smith , J.D.H. and Ungar , A.A. 1996 . Abstract space-times and their Lorentz groups . Found. Phys , 37 : 3073 – 3098 .
- Ungar , A.A. 1990 . Weakly associative groups . Res. Math , 17 : 149 – 168 .
- Ungar , A.A. 1991 . Thomas precession and its associated grouplike structure . Amer. J. Phys , 59 : 824 – 834 .
- Ungar , A.A. 1994 . The holomorphic automorphism group of the complex disk . Acq. Math , 47 : 240 – 254 .
- Ungar , A.A. 1997 . Thomas precession: its underlying gyrogroup axioms and their use in hyperbolic geometry and relativistic physics . Found. Phys , 27 : 881 – 951 .