Ch. 5: Permutation Groups

Question	Answer
Define: Permutation of A Define: Permutation Group of A	Image: ea9bc661-58a6-4efe-9e30-46dc67b23aaf (image/png)
Products of Disjoint Cycles	Image: 262ead30-a536-4097-9be0-26163fb5ba61 (image/png)
Disjoint Cycles Commute	Image: 38f5e25e-5841-49eb-92b2-f9048d15b4f3 (image/png)
Order of a Permutation	Image: 1339e446-7f9a-4a6f-a318-65bd633b9d0e (image/png)
Product of 2-Cycles	Image: fa929226-a75f-45f5-a07e-1b698cae0781 (image/png)
If e = (r number of Betas)	Image: ded2dd99-97d4-404d-8aff-b8493df3ad35 (image/png)
Theorem: Always even or always odd	Image: 95d58e45-659a-4c34-93fa-fad96fb39191 (image/png)
Define: Even and Odd Permutations	Image: 9f97def2-fe74-4eb7-ae32-661331cbfcb0 (image/png)
Even permutations form a group	Image: fccf8a8b-67a4-4ea7-8fbe-821b2f3f4934 (image/png)
Define: Alternating group of degree n	Image: 83c86751-3c50-4e6f-9a5a-adf89484d127 (image/png)
For n > 1, A_n has what order?	Image: 1de605a6-73a4-405e-a3da-7968ab38c97e (image/png)

Resource summary

	Created by William Hartemink over 8 years ago