Schwarz, Fritz Janet bases for symmetry groups. (English) Zbl 1024.34027 Buchberger, Bruno (ed.) et al., Gröbner bases and applications. Based on a course for young researchers, January 1998, and the conference “33 years of Gröbner bases”, Linz, Austria, February 2-4, 1998. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 251, 221-234 (1998). Here, the author applies Janet bases theory to the study of the type of symmetry group of a second-order ordinary differential equation. The computations performed in the article have been made with the help of the software package SPDE.For the entire collection see [Zbl 0883.00014]. Reviewer: Francisco Castro-Jiménez (Sevilla) Cited in 9 Documents MSC: 34C14 Symmetries, invariants of ordinary differential equations 37C80 Symmetries, equivariant dynamical systems (MSC2010) 68W30 Symbolic computation and algebraic computation 34-04 Software, source code, etc. for problems pertaining to ordinary differential equations Keywords:ordinary differential equation; Janet base Software:SPDE PDFBibTeX XMLCite \textit{F. Schwarz}, Lond. Math. Soc. Lect. Note Ser. 251, 221--234 (1998; Zbl 1024.34027)