#ATTENDANCE QUIZ FOR LECTURE 10 of Dr. Z.'s Math454(02) Rutgers University

# Please Edit this .txt page with Answers

#Email  ShaloshBEkhad@gmail.com 
#Subject: p10
#with an attachment called
#p10FirstLast.txt
#(e.g. p10DoronZeilberger.txt)

#Right after finishing watching the lecture but no later than Oct. 9, 2020, 8:00pm


THE NUMBER OF ATTENDANCE QUESTIONS WERE:

PLEASE LIST ALL THE QUESTIONS FOLLOWED, AFTER EACH BY THE ANSWER
#Attendance Question 1
#Find p2*p1
#Attendance Answer 1
#p1=21534 p2=41235
#p1*p2 -> [1,4,5,2,3]
#p2*p1 -> [3,2,1,5,4]

#Attendance Question 2
#Explain in your own words why if the order of pi is k
#then |GG({pi})|=k
#Answer 2
#This is because the it outputs the subgroup generated by them 
#which is only as big as k

#Attendance Question 3
#prove that if H is a subgroup of a group g then 
#|g|/|h|
#Attendance answer 3
#if the cardinality of g is the same as the cardinality of h then |g|/|h| = 1

#Attendance Question 4
#whose theorem is it?
#Attendance answer 4
#Margulis

#Attendance Question 5
#Generate a random permutation of length 9 
#Find its cycle representation
#[2,5,4,7,6,3,1,9,8]
#[[7,1,2,5,6,3,4],[9,8]]


#Attendance Question 6
#Check that the range of FunT over all permutations of length 7
#permute(7) is the same thing (the set of permutations of length 7)
#the range of FunT over all permutations of length 7 is the same