Recent content by flufles

great thank you very much, it may of taken some time but i got there =]

b-a=-2k yes??

ok thank you, so for the symmetric could you say (let k,j be any integer) a relates b iff a-b=even integer a=2k and b=2j and so a-b=2k-2j=even integer and b-a=2j-2k=even integer

thank you very much =]

would reflexive be just as simple as, let a be any rational number. a=a and symmetric, let a,b be any rational numbers. and again simply a*b=b*a Thank you for the help and advice =]

thank you for the welcome, i think i do so (123) could be written as (12)(23) or (13)(12) and (45687) written as (45)(56)(68)(87) or (47)(48)(46)(45) and so would i just put these next to each other as (12)(23)(45)(56)(68)(87) Thank you

Homework Statement Write the permutation P= 12345678 23156847  in cycle notation, and then write it as a product of transpositions Homework Equations The Attempt at a Solution I got the cycle notation to be (123)(45687), but i am now not sure now to write it as a product of...

I think it is reflexive and symmetric but not transitive but I am not really sure I am looking at i the correct way around.

An equivalence relation is a relation that is reflexive, symmetric and transitive.

Let Q be the group of rational numbers with respect to addition. We define a relation R on Q via aRb if and only if a − b is an even integer. Prove that this is an equivalence relation. I am very stumped with this and would welcome any help Thank you