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    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeJul 14th 2018

    Page created, but author did not leave any comments.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeJul 15th 2018
    • (edited Jul 15th 2018)

    I have been tweeking the wording to try and get across the link between the combinatorial group theory of the presentation and the algebraic topological encoding in the Cayley graph. It would be good to have a picture of the S 3S_3 example, but I could not get the code to work so would ask someone who understands drawing such diagrams here better than I do to help. (I have various forms of the code, xypic, etc. )

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeApr 17th 2021

    added pointer to:

    diff, v6, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeApr 17th 2021

    made explicit the “word metric” and added the redirect;

    added pointer to:

    diff, v6, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeApr 17th 2021

    made explicit the example of the symmetric group:


    The symmetric group Sym(n)Sym(n) may be generated from


    diff, v9, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeApr 19th 2021

    added pointer to:

    diff, v10, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeApr 20th 2021

    I have tikz-ed the Cayley graph for Sym(3)Sym(3), as an example, here.

    I’ll also give this its own little page now, Cayley graph for Sym(3), in order to discuss a few more properties

    diff, v12, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2021
    • (edited Apr 27th 2021)

    I have added the following references on spectra of Cayley graphs (here):

    also, I have added (here) a picture of the Cayley graph of Sym(4)Sym(4) to the entry, taken from Kaski’s article

    diff, v13, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 27th 2021

    and pointer to:

    diff, v14, current

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeJan 17th 2023

    added pointer to:

    diff, v18, current