Recent content by sdembi

  1. S

    Graduate Counting Cosets in Abstract Algebra | Pinter's Self Study

    Understood - Thanks a ton...
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    Graduate Counting Cosets in Abstract Algebra | Pinter's Self Study

    Thanks - The coset of h1 would be the set of elements h1*h and that of h2 would be h2*h for all h belonging to H - Not sure why they should not be different. I am not able to understand why the number of cosets should not be equal to the number of elements in the set G. Am sure I'm missing...
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    Graduate Counting Cosets in Abstract Algebra | Pinter's Self Study

    Hi, I am doing self study of Abstract Algebra from Pinter. My doubt is regarding Chap 13 Counting Cosets: A coset contains all products of the form "ah" where a belongs to G and h belongs to H where H is a subgroup of G. So each coset should contain the number of elements in H. Now the number of...