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Concept
Solvable Groups
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Summary
A
Solvable Group
is a type of group in
Abstract Algebra
where a
Series of subgroups
can be formed such that each is a
Normal Subgroup
of the one before, with the
Quotient Groups
being abelian. This property is significant in the context of
Galois Theory
, where it helps determine the
Solvability Of Polynomial Equations
by radicals.
Concepts
Group Theory
Normal Subgroup
Abelian Group
Quotient Group
Galois Theory
Radical Solvability
Derived Series
Composition Series
Jordan-Hölder Theorem
Relevant Degrees
Algebra 100%
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