Affine lines on {\bf Q}-homology planes and group actions

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This note is a supplement to the papers: R. V. Gurjar, K. Masuda, M. Miyanishi and P. Russell, Affine lines on affine surfaces and the Makar-Limanov invariant, preprint, 2005, 42p. and T. Kishimoto and H. Kojima, Affine lines on {\bf Q}-homology planes with logarithmic Kodaira dimension $-\infty$, Transform. Groups 11 (2006), no. 4 (to appear). We show the role of group actions in classification of affine lines on {\bf Q}-homology planes.
Transform. Groups 11 (2006), no. 4, 14p. (to appear)

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