In this dissertation, we describe the automorphism groups for the strong Bruhat orders A_n-1, B_n, and D_n. In particular, the automorphism group of A_n-1 for n ≥ 3 is isomorphic to the dihedral group of order eight, D_4; the automorphism group of B_n for n ≥ 3 is isomorphic to C_2 x C_2 where C_2 is the cyclic group of order two; the automorphism group of D_n for n > 5 and n even is isomorphic to C_2 x C_2 x C_2; and the automorphism group of D_n for n ≥ 5 and n odd is isomorphic to the dihedral group D_4.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc330906 |
| Date | 08 1900 |
| Creators | Sutherland, David C. (David Craig) |
| Contributors | Kung, Joseph P. S., Brand, Neal E., Bator, Elizabeth M., Hagan, Melvin R. |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 76 leaves: ill., Text |
| Rights | Public, Sutherland, David C. (David Craig), Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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