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By M.-E. Alonso, E. Becker, M. F. Roy (auth.), Laureano González-Vega, Tomás Recio (eds.)

The current quantity incorporates a collection of refereed papers from the MEGA-94 symposium held in Santander, Spain, in April 1994. They hide contemporary advancements within the conception and perform of computation in algebraic geometry and current new functions in technology and engineering, relatively laptop imaginative and prescient and idea of robotics. the amount might be of curiosity to researchers operating within the components of computing device algebra and symbolic computation in addition to to mathematicians and computing device scientists drawn to having access to those subject matters.

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Noordhoff, 1950. [20] Wang, D. , A method for factorizing multivariate polynomials over successive algebraic extension fields, preprint, RISC-LINZ, 1992. , Computing primitive elements of extension fields, J. Symb. Compo 8, pp. 553-580 (1989). , On determining the solvability of polynomials, in "Proc. ISSAC '90," ACM Press, pp. 127-134 (1990). H. Anai (anai@iias. flab. fuj itsu. co. jp) M. jp) ISIS, Fujitsu Laboratories, 140 Miyamoto, Numazu-shi, Shizuoka, 410-03 (Japan). Progress in Mathematics, Vol.

DFGS] A. DICKENSTEIN, N. FITCHAS, Yr. GIuSTI and C. SESSA. "The membership problem for unmixed polynomial ideals is solvable in single exponential time", Discrete Appl. Math. 33, pp. 73-94 (1991). M. ELKADI, "Bornes pour Ie degre et les hauteurs dans Ie probleme de division", to appear in Michigan Math . TournaI. [FG] N. FITCHAS and A. GALLIGO, "Nullstellensatz effectif et conjecture de Serre (Theorcme de Quillen-Suslin) pour Ie Caleul Forme]"" . l\Iath. Nachr, 149, pp. 231 253 (1990). [GPL] L.

By Gl.. i or simply G(il' we denote the poinlwise stab'ilize'r oj 1, .... i in G. lhal is, G(il = {g E Glj9 = j for j = 1, ... , i}. Moreover set G(O) = G. Then. /liP have a chain of stabilizers: Let k be the smallest integer such that G(kl = 1. We call a sequence [1,2 .... ,k] 36 H. Anai, M. Noro, K. Yokoyama a basis for C. For each i in the basis [1, ... , kJ, we denote by Si a set of all (right) coset representatives of G(i) in G(i-l)' Therefore, by setting Si = (i) (i) {8 1 , ... , Sti }, Then, the union S = U~=1 Si generates G.

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