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ETD Abstract Container

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Automorphism Groups of Buildings Constructed Via Covering Spaces

Gibbins, Aliska L
http://rave.ohiolink.edu/etdc/view?acc_num=osu1373976456

Abstract Details

2013, Doctor of Philosophy, Ohio State University, Mathematics.
We describe the stabilizer of a chamber in the automorphism group of a graph product of buildings. We offer a condition under which the automorphism group of a building constructed via covering spaces admits a BN-pair. Finally we show that the standard lattice in the automorphism group of a graph product of buildings corresponds to the generalized graph product of groups.
Michael Davis (Advisor)
Jean Lafont (Committee Member)
James Cogdell (Committee Member)
61 p.
Mathematics
buildings, Coxeter groups, graph products, covering spaces, Moufang property

Recommended Citations

Citations

  • Gibbins, A. L. (2013). Automorphism Groups of Buildings Constructed Via Covering Spaces [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1373976456

    APA Style (7th edition)

  • Gibbins, Aliska. Automorphism Groups of Buildings Constructed Via Covering Spaces. 2013. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1373976456.

    MLA Style (8th edition)

  • Gibbins, Aliska. "Automorphism Groups of Buildings Constructed Via Covering Spaces." Doctoral dissertation, Ohio State University, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=osu1373976456

    Chicago Manual of Style (17th edition)

osu1373976456
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This open access ETD is published by The Ohio State University and OhioLINK.