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Abstract Algebra (Central Ideas (Insights (Rephrase toLinear Algebra !!…
Abstract Algebra
Central Ideas
Techniques
Clever
Consequences
Explicit Forcing !!
Working Backwards !!
Utilizing
Transfers
Extreme Objects
as Connectors !!
Connotation
of
Mathematical
Objects
Pictures !!
General
Questions
Insights
Groups Are
Strict
Consider the
Commutator
Conjugate
Rephrase to
Linear Algebra !!
Bijections as
Change of
Basis
Maps vs
Objects
Chapter 1:
Definitions
Order
Cycles
Group Actions
Permutations
Misc
Purpose of
Uniqueness
Chapter 2:
Subgroups
Important
Subgroups