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单词 substitution group
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substitution group
substitution group n. Mathematics = permutation group n. at permutation n. Compounds 2.
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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
1861 J. J. Sylvester in London, Edinb. & Dublin Philos. Mag. 4th Ser. 21 519 We shall obtain new families remaining unaltered by any substitution of any of the nine elements inter se, and consequently indicating the existence of substitution-groups containing..36 and 324 substitutions respectively.
1916 G. A. Miller et al. Theory & Applic. Finite Groups i. 10 It will be proved..that every finite group can be represented as a substitution group.
2008 M. S. Dresselhaus et al. Group Theory ii. 23 The matrices form a substitution group.
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