MURAL - Maynooth University Research Archive Library



    The Alternating Group A8 and the General Linerar Group GL4(2)


    Murray, John (1999) The Alternating Group A8 and the General Linerar Group GL4(2). Mathematical Proceedings of the Royal Irish Academy, 99A. pp. 123-132. ISSN 1393-7197

    [img] Download (168kB)


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    Abstract

    We give an explicit construction for the isomophism A8 GL4 (2). The involutions of cycle type 23 in the symmetric group S6, together with the null-set, can be given the structure of an elementary abelian group of order 16, in such a way that S6 preserves the group operation. This gives an embedding ( of S6 into the general linear group GL4(2). Regarding S6 as a subgroup of the alternating group A8, we show that ( extends to A8. Coincidence of group orders implues that this extension is an isomorphism.

    Item Type: Article
    Keywords: Alternating Group A8; General Linerar Group GL4(2);
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 2153
    Depositing User: Dr. John Murray
    Date Deposited: 07 Oct 2010 11:19
    Journal or Publication Title: Mathematical Proceedings of the Royal Irish Academy
    Publisher: Royal Irish Academy
    Refereed: Yes
    URI:

      Repository Staff Only(login required)

      View Item Item control page

      Downloads

      Downloads per month over past year