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Choose the correct option:
  • a)
    There are exactly two abelian groups of order 6 (upto isomorphism).
  • b)
    Every group of order less than 6 is abelian. A group of order 439 is non-abelian.
  • c)
    Equation x2 = e can not have more than two solution in some group G with identity e.
  • d)
    A group of order 59 is cyclic and the smallest, positive integer n such that there are two nonisomorphic groups of order n is 4
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Choose the correct option:a)There are exactly two abelian groups of or...
Remember: Every group of prime order is cyclic and hence abelian 439 and 59 are primes. (Z4, +4) and klein 4-group are two non isomorphic groups of order 4.
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Most Upvoted Answer
Choose the correct option:a)There are exactly two abelian groups of or...
Using the properties of matrix inverses, the expression simplifies to (AB)C, which is equivalent to ABC. Since matrix multiplication is associative, the final result is BC.
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Choose the correct option:a)There are exactly two abelian groups of order 6 (upto isomorphism).b)Every group of order less than 6 is abelian. A group of order 439 is non-abelian.c)Equation x2 = e can not have more than two solution in some group G with identity e.d)A group of order 59 is cyclic and the smallest, positive integer n such that there are two nonisomorphic groups of order n is 4Correct answer is option 'D'. Can you explain this answer?
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Choose the correct option:a)There are exactly two abelian groups of order 6 (upto isomorphism).b)Every group of order less than 6 is abelian. A group of order 439 is non-abelian.c)Equation x2 = e can not have more than two solution in some group G with identity e.d)A group of order 59 is cyclic and the smallest, positive integer n such that there are two nonisomorphic groups of order n is 4Correct answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Choose the correct option:a)There are exactly two abelian groups of order 6 (upto isomorphism).b)Every group of order less than 6 is abelian. A group of order 439 is non-abelian.c)Equation x2 = e can not have more than two solution in some group G with identity e.d)A group of order 59 is cyclic and the smallest, positive integer n such that there are two nonisomorphic groups of order n is 4Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Choose the correct option:a)There are exactly two abelian groups of order 6 (upto isomorphism).b)Every group of order less than 6 is abelian. A group of order 439 is non-abelian.c)Equation x2 = e can not have more than two solution in some group G with identity e.d)A group of order 59 is cyclic and the smallest, positive integer n such that there are two nonisomorphic groups of order n is 4Correct answer is option 'D'. Can you explain this answer?.
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