| 单词 | symmetric group |
| 释义 | > as lemmassymmetric group symmetric group n. the group of all the permutations of a set of unlike entities. ΘΚΠ the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > symmetric group or difference symmetric group1897 symmetric difference1936 symmetrical difference1978 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 1897 W. Burnside Theory Groups of Finite Order viii. 139 The group of order n! which consists of all the substitutions that can be performed on n symbols is called the symmetric group of degree n. 1955 L. Mirsky Introd. Linear Algebra ix. 257 In addition to the symmetric group..there are other groups of permutations, all of them naturally subgroups of the symmetric group. < as lemmas |
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