How to practice concept:permutation-groups

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–2 of 2. Imported answers require independent review unless marked reviewed.

Topic practice 2 questionsPage 1 of 1

Question 58

Open question
MANAT2 marksNeeds review
Let

, where

is the permutation group on 8 elements. Suppose

is the product of

and

, where

is a 4-cycle and

is a 3-cycle in

. If

and

are disjoint cycles, then the number of elements in

which are conjugate to

is __________.

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Question 7

Open question
MAMCQ1 markNeeds review
In the permutation group

, the number of elements of order 8 is
Your answerChoose one option.

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