Ciro Santilli
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Quotient group
"Subgroup"
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Ultimate explanation:
math.stackexchange.com/questions/776039/intuition-behind-normal-subgroups/3732426#3732426
Does not have to be isomorphic to a subgroup:
www.mathcounterexamples.net/a-semi-continuous-function-with-a-dense-set-of-points-of-discontinuity/
math.stackexchange.com/questions/2498922/is-a-quotient-group-a-subgroup
This is one of the reasons why the analogy between
simple groups
of finite groups and
prime numbers
is limited.
Table of contents
484
Subquotient
link
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"Quotient group"
43
Relationship between the quotient group and direct products
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"Quotient group"
266
Normal subgroup
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"Quotient group"
103
Simple group
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"Normal subgroup"
34
How to show that a group is simple
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"Simple group"
11
Ancestors
Subgroup
Group
Algebra
Mathematics
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Fundamental theorem on homomorphisms
Normal subgroup
Projective linear group
Relationship between the quotient group and direct products