*x = y*y = x*y*x*y = y*x*y*x = e where e is the identity element. The maximum number of elements in such a such that every element in the group product of some number of x s and y's in some order t There are two ele can be written as a known that %3D

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Q: Let G = {f,fa. groop %3D .Show that G is a under Compositian of Functions, where x) =X, f2 (x)= -x,…

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Q: Question 3 [6 points each]. What is the inverse of each of the following elements: 1. 3 in (Z100,…

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Q: Let a= (123)(145) in S6. Write a" in disjoint cycle form. None of these (32541) O (14523) O (16)(24)

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Q: 3. [32] −1 4-3 4. 5. [. |_3 -4 2 1 2 -1 4,

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Q: GROUPS ALEBGRIC STRUCTURE State whether each of the following statements is true or false. Then…

A: According to our guidelines we can answer only one question and rest can be reposted.

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Q: Let a be an element in group G, order (a)=15, then the order a10 = 3, where a10 E G

A: Use the formula of o(a^r) , if o(a) is given.

Q: (bläi) äbäi 2.5 3 Jlgull How many abelian groups of order the ?Z180 same as 30O 10 40 30 1.

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Q: 4.6 List all the elements of (Z45,) that are of order 15.

A: (.) Given  group is  ⊕ .(.). The group  ⊕ is an abelian group under addition modulo   and given by ,…

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Q: q2-  91.2% of 1980 is: Select one: 18057.6 180576 180.576 1805.76 18.0576

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