| 单词 | quaternion group |
| 释义 | > as lemmasquaternion group quaternion group n. Mathematics the group which is formed under multiplication by the unit quaternions, 1, i, j, and k, and their negatives. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > set > in abstract algebra > groups syntheme1844 group1854 substitution group1861 quaternion group1881 subgroup1881 Abelian group1892 permutation group1893 quotient group1893 factor group1895 order1897 symmetric group1897 point group1903 Sylow subgroup1905 module1927 Lie group1939 symmetry group1956 Weyl group1961 stabilizer1965 1881 Amer. Jrnl. Math. 4 345 The object of the present paper is to determine all the possible finite quaternion groups. 1949 H. Zassenhaus Theory of Groups iv. 116 We wish to find non-abelian groups of order pn which contain only one subgroup of order p. An example is the quaternion group. 1972 F. J. Budden Fascination of Groups xv. 245 The simplest group in this class is Q4 of order 8 (n = 4), and this is usually known as the quaternion group, though in fact all the dicyclic groups may be realised as groups of quaternions. 2002 Amer. Math. Monthly 109 183 Another group that can be given by generators and relations is the quaternion group H of order 8. < as lemmas |
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