Decomposition of isometries of isotropic U n ( V ) over finite fields into simple isometries

Hiroyuki Ishibashi

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 2, page 301-305
  • ISSN: 0011-4642

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Ishibashi, Hiroyuki. "Decomposition of isometries of isotropic $U_n(V)$ over finite fields into simple isometries." Czechoslovak Mathematical Journal 31.2 (1981): 301-305. <http://eudml.org/doc/13259>.

@article{Ishibashi1981,
author = {Ishibashi, Hiroyuki},
journal = {Czechoslovak Mathematical Journal},
keywords = {involution; sesquilinear form; isotropic vector; hyperbolic plane; isometries; orthogonal group; hermitian space; quasi symmetry; unitary transvection},
language = {eng},
number = {2},
pages = {301-305},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Decomposition of isometries of isotropic $U_n(V)$ over finite fields into simple isometries},
url = {http://eudml.org/doc/13259},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Ishibashi, Hiroyuki
TI - Decomposition of isometries of isotropic $U_n(V)$ over finite fields into simple isometries
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 2
SP - 301
EP - 305
LA - eng
KW - involution; sesquilinear form; isotropic vector; hyperbolic plane; isometries; orthogonal group; hermitian space; quasi symmetry; unitary transvection
UR - http://eudml.org/doc/13259
ER -

References

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  1. J. Dieudonné, 10.2307/1990707, Trans. Amer. Math. Soc. 72 (1952), 367-385. (1952) MR0049198DOI10.2307/1990707
  2. J. Dieudonné, La Géométrie des groupes classiques, 3rd ed., Springer-Verlag, Berlin/New York, 1971. (1971) MR0310083
  3. H. Ishibashi, Generators of an orthogonal group over a finite field, Czechoslovak Math. J. 28 (1978), 419-433. (1978) Zbl0399.20016MR0501209
  4. H. Ishibashi, Minimal sets of generators of symplectic groups over finite fields, (preprint). MR0592325
  5. D. G. James, 10.1016/0021-8693(78)90245-4, J. Algebra 52 (1978), 354-363. (1978) Zbl0378.20038MR0498386DOI10.1016/0021-8693(78)90245-4

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