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Question: If do not have subgroup or normal subgroup, how to do quotient group

Question:If do not have subgroup or normal subgroup, how to do quotient group

ComputerUser 535 Maple
group
February 28 2014
1

 

i understand quotient group is

G/(normal subgroup)

= G composite with inverse permutation group of normal subrgoup

is this understanding correct?

If do not have subgroup or normal subgroup, how to do quotient group?

 

if i shift second row many times in order to find Subgroup satisfy G*Subgroup = Subgroup*G

after find Subgroup then test

 

inverse(g)*Subgroup*g = Subgroup

 

how to test whether inverse(g)*Subgroup*g belong to Subgroup?

or just use equal in inverse(g)*Subgroup*g = Subgroup?
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