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Group Theory

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Prove that the additive groups Z and Q are not isomorphic

  • Post published:February 1, 2023
  • Post category:Group Theory/Mathematics
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Continue ReadingProve that the additive groups Z and Q are not isomorphic

The generators of Z/48Z

  • Post published:December 19, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingThe generators of Z/48Z

Prove that SL_n(F) is a subgroup of GL_n(F)

  • Post published:December 9, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingProve that SL_n(F) is a subgroup of GL_n(F)

The group GL2(F2) is non-abelian

  • Post published:December 5, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingThe group GL2(F2) is non-abelian

The elements and its order of GL2(F2)

  • Post published:December 1, 2022
  • Post category:Group Theory/Mathematics
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The Group Z/2Z x Z/2Z is not Cyclic

  • Post published:November 25, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingThe Group Z/2Z x Z/2Z is not Cyclic

Subgroup of an abelian group is normal

  • Post published:November 23, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingSubgroup of an abelian group is normal

Subgroup of an abelian group is abelian

  • Post published:November 21, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingSubgroup of an abelian group is abelian

What is the order of each element of the group?

  • Post published:November 13, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingWhat is the order of each element of the group?

Klein four-group is abelian and not cyclic

  • Post published:November 11, 2022
  • Post category:Group Theory/Mathematics
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Continue ReadingKlein four-group is abelian and not cyclic
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