Algebra-Permutation Groups [IAS (Admin.) Mains Mathematics]: Questions 1 - 2 of 2
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Question 1
Appeared in Year: 2013
Describe in Detail Subjective▾
What is the maximal possible order of an element in ? Give an example of such an element. How many element՚s will there be in of that order? (Paper II)
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NOTE:- For convenience, we denote an n-cycle by then all the possible disjoint cycle structures of element of according to longest cycle lengths left to right, we have
… (1267 more equations) …
Question 2
Appeared in Year: 2013
Write in Short Short Answer▾
What are the orders of the following permutations in so?
And (Paper II)
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