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G is abelian if the quotient group g n is cyclic and n is contained in the center proof
G is Abelian if the Quotient Group G/N is cyclic and N is contained in the Center Proof
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TECHNOLOGY
A Commutative Ring with 1 is a Field iff it has no Proper Nonzero Ideals Proof
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Determine if W is a Subspace of a Vector Space V
linear algebra $#@
Prove W = {(a, b) | a = -b} is a Subspace of R^2
linear algebra $#@
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Group Theory Proof: If g^n = e then the order of g divides n
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Proof that f(x) = xg_0 is a Bijection
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H U K is a subspace iff H is contained in K or K is contained in H Proof
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Equivalence Relation on a Group Two Proofs
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Determine if W is a Subspace of a Vector Space V Polynomial Example
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Group Theory: The Center of a Group G is a Subgroup of G Proof
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Cyclic Groups Proof: If x is a generator so is its inverse
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