Question

Prove every element of An is a product of 3-cycles.

Prove every element of An is a product of 3-cycles.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose n ≥ 3 is an integer. Prove that in Sn every even permutation is a...
Suppose n ≥ 3 is an integer. Prove that in Sn every even permutation is a product of cycles of length 3. Hint: (a, b)(b, c) = (a, b, c) and (a, b)(c, d) = (a, b, c)(b, c, d).
Prove that a transposition cannot be written as a product of cycles of length three. (Consider...
Prove that a transposition cannot be written as a product of cycles of length three. (Consider even and odd permutations)
Prove that every nonzero element of Zn is either a unit or a zero divisor, but...
Prove that every nonzero element of Zn is either a unit or a zero divisor, but not both.
Prove 4-C Theorem for a planar graph with no 3-cycles.
Prove 4-C Theorem for a planar graph with no 3-cycles.
Prove that for n ≥ 3, n odd, the graphs of cycles Cn are bipartite.
Prove that for n ≥ 3, n odd, the graphs of cycles Cn are bipartite.
Show/Prove that every invertible square (2x2) matrix is a product of at most four elementary matrices
Show/Prove that every invertible square (2x2) matrix is a product of at most four elementary matrices
Prove or disprove that 3|(n^3 − n) for every positive integer n.
Prove or disprove that 3|(n^3 − n) for every positive integer n.
Give an ordered set with a smallest element, in which every element has a successor and...
Give an ordered set with a smallest element, in which every element has a successor and every element but the least has a predecessor, yet the set is not similar to N.
How would you prove that for every natural number n, the product of any n odd...
How would you prove that for every natural number n, the product of any n odd numbers is odd, using mathematical induction?
Prove the statements (a) and (b) using a set element proof and using only the definitions...
Prove the statements (a) and (b) using a set element proof and using only the definitions of the set operations (set equality, subset, intersection, union, complement): (a) Suppose that A ⊆ B. Then for every set C, C\B ⊆ C\A. (b) For all sets A and B, it holds that A′ ∩(A∪B) = A′ ∩B. (c) Now prove the statement from part (b)