Previous |  Up |  Next

Article

Keywords:
Moufang loop; order; nonassociative
Summary:

References:
[1] Bruck R.H.: A Survey of Binary Systems. Springer, New York, 1971. MR 0093552 | Zbl 0141.01401
[2] Chein O.: Moufang loops of small order I. Trans. Amer. Math. Soc. 188 2 (1974), 31-51. MR 0330336 | Zbl 0286.20088
[3] Chein O.: Moufang loops of small order. Memoirs Amer. Math. Soc. 13 197 (1978), 1-131. MR 0466391 | Zbl 0378.20053
[4] Chein O., Rajah A.: Possible orders of nonassociative Moufang loops. Comment. Math. Univ. Carolin. 41 2 (2000), 237-244. MR 1780867 | Zbl 1038.20045
[5] Glauberman G.: On loops of odd order II. J. Algebra 8 (1968), 393-414. MR 0222198 | Zbl 0155.03901
[6] Grishkov A.N., Zavarnitsine A.V.: Lagrange's Theorem for Moufang loops. Math. Proc. Cambridge Philos. Soc. 139 (2005), 41-57. MR 2155504 | Zbl 1091.20039
[7] Herstein I.N.: Topics in Algebra. John Wiley & Sons, Inc., New York, 1975. MR 0171801 | Zbl 0122.01301
[8] Leong F., Rajah A.: On Moufang loops of odd order $pq^2$. J. Algebra 176 (1995), 265-270. MR 1345304
[9] Leong F., Rajah A.: Moufang loops of odd order $p_1^2p_2^2\cdots p_m^2$. J. Algebra 181 (1996), 876-883. MR 1386583
[10] Leong F., Rajah A.: Moufang loops of odd order $p^4q_1\cdots q_n$. J. Algebra 184 (1996), 561-569. MR 1409228 | Zbl 0860.20054
[11] Leong F., Rajah A.: Moufang loops of odd order $p^\alpha q_1^2\cdots q_n^2r_1\cdots r_m$. J. Algebra 190 (1997), 474-486. MR 1441958 | Zbl 0874.20046
[12] Leong F., Rajah A.: Split extension in Moufang loops. Publ. Math. Debrecen 52 1-2 (1998), 33-42. MR 1603303
[13] Purtill M.: On Moufang loops of order the product of three odd primes. J. Algebra 112 (1988), 122-128. MR 0921968 | Zbl 0644.20040
[14] Purtill M.: Corrigendum. J. Algebra 145 (1992), 262. MR 1144674 | Zbl 0742.20068
[15] Rajah A.: Moufang loops of odd order $pq^3$. J. Algebra 235 (2001), 66-93. MR 1807655
Partner of
EuDML logo