| Title:
|
A note on linear preserves of ternary cubic forms (English) |
| Author:
|
Chlebowicz, Agnieszka |
| Author:
|
Wołowiec-Musiał, Małgorzata |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
9 |
| Issue:
|
1 |
| Year:
|
2001 |
| Pages:
|
33-38 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11E76 |
| MSC:
|
12J15 |
| MSC:
|
14H52 |
| idZBL:
|
Zbl 1048.11032 |
| idMR:
|
MR1879638 |
| . |
| Date available:
|
2009-01-30T09:08:41Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120567 |
| . |
| Reference:
|
[1] I. Berchenko P.J. Olver: Symmetries of polynomials.J. Symb. Comb. 29 (2000), 485-514. MR 1769652, 10.1006/S0747-7171(99)90307-3 |
| Reference:
|
[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. MR 1832493 |
| Reference:
|
[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. MR 1306980 |
| Reference:
|
[4] P. Orlik L. Solomon: Singularities II; Automorphisms of Forms.Math. Ann. 231 (1978), 229-240. MR 0476735, 10.1007/BF01420243 |
| Reference:
|
[5] M. O'Ryan D.B. Shapiro: On trace forms of higher degree.Linear Alg. Appl. 246 (1996), 313-333. MR 1407673, 10.1016/0024-3795(94)00363-7 |
| Reference:
|
[6] J. Schneider: Orthogonal groups of non-singular forms of higher degree.J. Algebra 27, (1973), 112-116. MR 0325795, 10.1016/0021-8693(73)90166-X |
| Reference:
|
[7] D. Shapiro: Trace forms preservers.Linear Alg. Appl. 288 (1999), 23-33. MR 1670586 |
| Reference:
|
[8] J. H. Silverman: The Arithmetic of Elliptic Curves.Springer, 1986. Zbl 0585.14026, MR 0817210 |
| Reference:
|
[9] J. H. Silverman J. Tate: Rational Points on Elliptic Curves.Springer, 1992. MR 1171452 |
| Reference:
|
[10] A. Sladek, A. Wesolowski: Clifford-Littlewood-Eckmann groups as orthogonal groups of forms of higher degree.Annales Mathematicae Silesianae 12 (1998), 93-103. Zbl 0923.11062, MR 1673076 |
| Reference:
|
[11] H. Suzuki: Automorphism groups of multilinear maps.Osaka J. Math. 20 (1983), 659-673. Zbl 0518.20033, MR 0718970 |
| Reference:
|
[12] A. Wesolowski: Automorphism and similarity groups of forms determined by the characteristic polynomial.Comm. in Algebra 27 (1999), 3109-3116. Zbl 0935.11014, MR 1695260, 10.1080/00927879908826613 |
| Reference:
|
[13] H. Weber: Lehrbuch der Algebra.Brunswick, 1912. |
| . |
