Symmetric Groups (Abstract Algebra)
ฝัง
- เผยแพร่เมื่อ 10 ก.ย. 2024
- Symmetric groups are some of the most essential types of finite groups. A symmetric group is the group of permutations on a set. The group of permutations on a set of n-elements is denoted S_n.
Symmetric groups capture the history of abstract algebra, provide a wide range of examples in group theory, are useful when writing software to study abstract algebra, and every finite group can be represented as a subgroup of a symmetric group. This result is known as Cayley's Theorem.
Order of an Element Video: • The Order of an Elemen...
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
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Milne, Algebra Course Notes (available free online)
www.jmilne.org/...
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