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Next privilege 75 Rep.
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 Dec 16 accepted Subgroups of the Symmetric Group Dec 16 accepted Finding roots and generators in a quotient ring Dec 16 asked Subgroups of the Symmetric Group Dec 16 accepted Permutations in Abstract Algebra Dec 16 comment Finding roots and generators in a quotient ring Sorry, can you explain what you mean by order 8? Dec 16 comment Example of a Group with Certain Characteristics I thought that conjugacy by any element in $S_5$ preserves cycle type, so that regardless of what you hit $<(12345)>$ with, it will stay within $<(12345)>$. Dec 16 comment Finding roots and generators in a quotient ring Yes, it is just elements 0, 1, and 2. Dec 16 asked Finding roots and generators in a quotient ring Dec 16 asked Permutations in Abstract Algebra Dec 16 comment Example of a Group with Certain Characteristics If I take the all the permutations with cycle type 5, say {(12345), (12354),(12435),...}, why is this not normal? Dec 16 asked Example of a Group with Certain Characteristics Dec 16 accepted Commutative Rings and Ideals Dec 16 awarded Scholar Dec 16 accepted Commutative Rings Inside Commutative Rings with Field properties Dec 14 asked Commutative Rings and Ideals Dec 14 awarded Student Dec 14 asked Commutative Rings Inside Commutative Rings with Field properties