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Concept
Finite Simple Group
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Summary
A
Finite Simple Group
is a group that is both finite in size and simple, meaning it has no
Normal Subgroups
other than the
Trivial Group
and itself. These groups serve as the
Building Blocks
for all
Finite Groups
, analogous to
Prime Numbers
in the context of integers, and are completely classified by the monumental work known as the classification of
Finite Simple Group
s.
Concepts
Group Theory
Normal Subgroup
Simple Group
Finite Group
Classification Of Finite Simple Groups
Galois Theory
Symmetric Group
Alternating Group
Lie Type Group
Sporadic Group
Chevalley Group
Conway Group
Sporadic Simple Group
Janko Group
Relevant Degrees
Algebra 78%
Fundamentals of Mathematics 22%
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