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nLab > Latest Changes: symmetric group

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  1.  
    • CommentRowNumber1.
    • CommentAuthorTim_Porter
    • CommentTimeOct 5th 2018

    Starting a stub.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeOct 5th 2018

    Starting a stub.

    diff, v2, current

    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeOct 5th 2018

    I have added some more material at symmetric group must via illustrative examples and I have included some simple properties. At the moment this is limited to standard stuff.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 8th 2018

    added pointer to

    • Bruce Sagan, The symmetric group, Springer 2001 (pdf)

    diff, v5, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 28th 2018

    I am trying to complete the split off of this entry from permutation. Copied a chunk of material from there to here, as need be.

    diff, v8, current

  6. Removing redirect for ’permutation group’, will make separate page for it.

    diff, v10, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeFeb 10th 2020

    added these pointers on (integral-)kernels on the symmetric group:

    • Mohammad Hossein Ghaffri, Zohreh Mostaghim, Distance in Cayley graphs on permutations generated by kmk m cycles, Transactions on Combinatorics, Vol 6 No. 3 (2017) (GhaffriMostaghim17.pdf:file)

    • Yunlong Jiao, Jean-Philippe Vert, The Kendall and Mallows Kernels for Permutations, Proceedings of Machine Learning Research, Volume 37: International Conference on Machine Learning, 7-9 July 2015, Lille (publisher, pdf)

    diff, v12, current

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeApr 20th 2021

    moved a chunk of text on general cycle notation out of the Example section on S 3S_3, into the main Idea-section.

    diff, v13, current

    • CommentRowNumber9.
    • CommentAuthorUrs
    • CommentTimeApr 29th 2021

    I have touched the wording of the proposition (here) on conjugacy classes being labeled by partitions, trying to make it clearer, and I added pointer to a texbook discussion (Sagan 01)

    diff, v16, current

    • CommentRowNumber10.
    • CommentAuthorJ-B Vienney
    • CommentTimeJul 30th 2022

    Added a link to a new page “Young subgroup”.

    diff, v18, current

  11. added section on the cardinality of the symmetric group for arbitrary sets and the reference

    • John Dawson; Paul Howard, Factorials of infinite cardinals, Fundamenta Mathematicae (1976), Volume: 93, Issue: 3, page 185-195, ISSN: 0016-2736 (EuDML)

    Anonymous

    diff, v21, current

1 to 11 of 11

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