A note on linear preserves of ternary cubic forms

Agnieszka Chlebowicz; Małgorzata Wołowiec-Musiał

Acta Mathematica et Informatica Universitatis Ostraviensis (2001)

  • Volume: 09, Issue: 1, page 33-38
  • ISSN: 1804-1388

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Chlebowicz, Agnieszka, and Wołowiec-Musiał, Małgorzata. "A note on linear preserves of ternary cubic forms." Acta Mathematica et Informatica Universitatis Ostraviensis 09.1 (2001): 33-38. <http://eudml.org/doc/23846>.

@article{Chlebowicz2001,
author = {Chlebowicz, Agnieszka, Wołowiec-Musiał, Małgorzata},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {automorphism of ternary cubic forms; correspondence to elliptic curves},
language = {eng},
number = {1},
pages = {33-38},
publisher = {University of Ostrava},
title = {A note on linear preserves of ternary cubic forms},
url = {http://eudml.org/doc/23846},
volume = {09},
year = {2001},
}

TY - JOUR
AU - Chlebowicz, Agnieszka
AU - Wołowiec-Musiał, Małgorzata
TI - A note on linear preserves of ternary cubic forms
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 2001
PB - University of Ostrava
VL - 09
IS - 1
SP - 33
EP - 38
LA - eng
KW - automorphism of ternary cubic forms; correspondence to elliptic curves
UR - http://eudml.org/doc/23846
ER -

References

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  2. A. Chlebowicz A. Sladek M. Wolowiec-Musial, Automorphisms of certain forms of higher degree over ordered fields, Linear Algebra Appl. 331, (2001), 145-153. MR1832493
  3. R.M. Guralnick, Invertible preservers and algebraic groups, Proceedings of the 3rd ILAS Conference, Pensacola, FL, 1993, Linear Alg. Appl 212/213 (1994), 249-257. (1993) MR1306980
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  8. J. H. Silverman, The Arithmetic of Elliptic Curves, Springer, 1986. (1986) Zbl0585.14026MR0817210
  9. J. H. Silverman J. Tate, Rational Points on Elliptic Curves, Springer, 1992. (1992) MR1171452
  10. A. Sladek, A. Wesolowski, Clifford-Littlewood-Eckmann groups as orthogonal groups of forms of higher degree, Annales Mathematicae Silesianae 12 (1998), 93-103. (1998) Zbl0923.11062MR1673076
  11. H. Suzuki, Automorphism groups of multilinear maps, Osaka J. Math. 20 (1983), 659-673. (1983) Zbl0518.20033MR0718970
  12. A. Wesolowski, 10.1080/00927879908826613, Comm. in Algebra 27 (1999), 3109-3116. (1999) Zbl0935.11014MR1695260DOI10.1080/00927879908826613
  13. H. Weber, Lehrbuch der Algebra, Brunswick, 1912. (1912) 

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