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- W4214583602 abstract "Chapter 4 starts with equivalence relations and congruences modulo an integer. Cosets modulo a subgroup are used to prove Lagrange's Theorem, which states that the order of a subgroup divides the order of a finite group. The quotient group, or factor group, is defined as the cosets of a group by a normal subgroup. The Morphism Theorem connects the kernel and image of a group morphism. Groups of order less than nine are classified using direct products. The action of a group on a set is used to show that the order of a finite group is the order of a stabilizer times the number of elements in an orbit." @default.
- W4214583602 created "2022-03-02" @default.
- W4214583602 date "2003-10-24" @default.
- W4214583602 modified "2023-10-14" @default.
- W4214583602 title "Quotient Groups" @default.
- W4214583602 doi "https://doi.org/10.1002/0471469882.ch4" @default.
- W4214583602 hasPublicationYear "2003" @default.
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