caa a22 4500 388092610 CHVBK 20180307125255.0 cr unu---uuuuu 161130e199912 xx s 000 0 eng 10.1017/S0004972700036674 doi S0004972700036674 pii (NATIONALLICENCE)cambridge-10.1017/S0004972700036674 On rings of invariants of non-modular Abelian groups [Elektronische Daten] We study the ring of invariant Laurent polynomials associated to the action of a finite diagonal group G on the symmetric algebra of a vector space over a field F. Here the characteristic p of the field F necessarily does not divide the order q = |G| of the group, so G is said to be non-modular. For certain representations of such groups, we can characterise generators of the ring of invariant polynomials in the original symmetric algebra, extending results of Campbell, Hughes, Pappalardi and Selick. In particular we obtain a recursive formula for the number of minimal generators for these rings of invariants. Copyright © Australian Mathematical Society 1999 Campbell H.E.A. Department of Mathematics and Statistics Queen's University Kingston, Ontario, Canada, K7L 3N6 e-mail: eddy@mast.queensu.ca Harris J.C. Department of Mathematics University of Toronto Toronto, Ontario Canada M5S 1A1 e-mail: harris@math.toronto.edu Wehlau D.L. Department of Mathematics and Computer Science Royal Military College Kingston, Ontario Canada M5S 1A1 and Department of Mathematics and Statistics Queen's University Kingston, Ontario Canada K7L 3N6 e-mail: wehlau@mast.queensu.ca Bulletin of the Australian Mathematical Society Cambridge University Press 60/3(1999-12), 509-520 0004-9727 60:3<509 1999 60 BAZ https://doi.org/10.1017/S0004972700036674 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S0004972700036674 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Campbell H.E.A. Department of Mathematics and Statistics Queen's University Kingston, Ontario, Canada, K7L 3N6 e-mail: eddy@mast.queensu.ca NATIONALLICENCE 700 1- Harris J.C. Department of Mathematics University of Toronto Toronto, Ontario Canada M5S 1A1 e-mail: harris@math.toronto.edu NATIONALLICENCE 700 1- Wehlau D.L. Department of Mathematics and Computer Science Royal Military College Kingston, Ontario Canada M5S 1A1 and Department of Mathematics and Statistics Queen's University Kingston, Ontario Canada K7L 3N6 e-mail: wehlau@mast.queensu.ca NATIONALLICENCE 773 0- Bulletin of the Australian Mathematical Society Cambridge University Press 60/3(1999-12), 509-520 0004-9727 60:3<509 1999 60 BAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge