Prove that the group A4 is not abelian Post published:April 30, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingProve that the group A4 is not abelian

Every infinite cyclic group is isomorphic to the additive group of Z Post published:April 26, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingEvery infinite cyclic group is isomorphic to the additive group of Z

Any two cyclic groups of the same order are isomorphic Post published:April 22, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingAny two cyclic groups of the same order are isomorphic

Prove that the symmetric group of degree at least 3 is non-abelian Post published:April 18, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingProve that the symmetric group of degree at least 3 is non-abelian

Is R a group under multiplication? Post published:April 14, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingIs R a group under multiplication?

Prove that Z is not a group under multiplication Post published:April 10, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingProve that Z is not a group under multiplication

The image of a group homomorphism is a subgroup Post published:March 5, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingThe image of a group homomorphism is a subgroup

The kernel of a group homomorphism is a subgroup Post published:March 1, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingThe kernel of a group homomorphism is a subgroup

Prove that the additive groups R and Q are not isomorphic Post published:February 9, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingProve that the additive groups R and Q are not isomorphic

Prove that the multiplicative groups R-{0} and C-{0} are not isomorphic Post published:February 5, 2023 Post category:Group Theory/Mathematics Post comments:0 Comments Continue ReadingProve that the multiplicative groups R-{0} and C-{0} are not isomorphic