| 单词 | quotient group |
| 释义 | > as lemmasquotient group quotient group n. Mathematics = factor group n. at factor n. Compounds 2. 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 Bull. N.Y. Math. Soc. 3 74 The quotient-group of any two consecutive groups in the series of composition of any group is a simple group. 1958 R. V. Andree Sel. Mod. Abstr. Algebra iv. 101 The order of the quotient group is the order of G divided by the order of H, providing G is finite. 1990 Glasgow Math. Jrnl. 32 266 The form of this proof is fairly typical. One reduces to the case where an automorphism operates trivially first on a quotient group, and then on the associated normal subgroup. < as lemmas |
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