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Group Theory

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PGL(2,2) is isomorphic to S3

  • Post published:November 7, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingPGL(2,2) is isomorphic to S3

What are the normal subgroups of S3?

  • Post published:November 5, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingWhat are the normal subgroups of S3?

What are the normal subgroups of D3?

  • Post published:November 3, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingWhat are the normal subgroups of D3?

If G/Z(G) is cyclic, then G is abelian

  • Post published:October 29, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingIf G/Z(G) is cyclic, then G is abelian

Is the symmetric group S3 cyclic?

  • Post published:October 26, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingIs the symmetric group S3 cyclic?

The centrum of a group is a subgroup for the normalizer for any subset A of G

  • Post published:October 25, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingThe centrum of a group is a subgroup for the normalizer for any subset A of G

If g^2 = e for all g in G, then G is abelian

  • Post published:October 23, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingIf g^2 = e for all g in G, then G is abelian

For G/N, (gN)^a = g^aN for all integers a

  • Post published:October 22, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingFor G/N, (gN)^a = g^aN for all integers a

Prove that aH = bH iff b^-1a in H

  • Post published:October 21, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingProve that aH = bH iff b^-1a in H

The normalizer of a group center is the group itself

  • Post published:October 19, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingThe normalizer of a group center is the group itself
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