| 单词 | permutation group |
| 释义 | > as lemmaspermutation group permutation group n. Mathematics a group whose elements are permutations; = substitution group n. at substitution n. Compounds. 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 1893 Amer. Jrnl. Math. 15 195 The permutation group, moreover, since all its operations except identity affect every number, is a regular group, and its degree and order are equal. 1945 E. T. Bell Devel. Math. (ed. 2) x. 242 In the early 1930's..the somewhat neglected algorithm of Frobenius became of possible scientific significance, and the heavy labor of applying it in detail to the permutation groups required in physics was undertaken. 1990 Proc. London Math. Soc. 60 68 The most effective way of reducing problems concerning finite primitive permutation groups to problems concerning almost simple groups and linear groups is via distinguishing eight types of primitive groups, and dealing with them type by type. < as lemmas |
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