Recent content by feyomi

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    Graduate What are the orders of (x,v) and (x,u²) in A x B?

    If A = {(x,y) : x³ = y² = e, yx = xˉ¹y} and B = {(u,v) : u^4 = v² = e, vu = uˉ¹v}, how do I go about finding the orders of, say, (x,v) and (x,u²) in A x B? Thanks.
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    Graduate How many elements of order 50 are there in this group?

    The group in question is U100, the group of units modulo 100, which, correct me if I'm wrong, is equal to {3, 7, 9, 11, 13, 17, 19, 21, 23, 27, 29, 31, 33, 37, 39, 41, 43, 47, 49, 51, 53, 57, 59, 61, 63, 67, 69, 71, 73, 77, 79, 81, 83, 87, 89, 91, 93, 97, 99}. How many elements are there of...
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    Graduate How can the Chi_b (3P) particle exist if matter and anti-matter annihilate?

    The recently discovered Chi_b (3P) is made up of a bottom quark and an anti bottom quark. I thought, however, that should a matter particle meet with its anti counterpart, they would annihilate into pure energy. Am I missing something? Thanks.