GAP (RCWA) - References

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### References

[Andaloro00] Andaloro, P. On Total Stopping Times under 3x+1 Iteration, Fibonacci Quarterly, 38, (2000), p. 73-78

[Polycyclic] Eick, B. and Nickel, W. Polycyclic. Computation with polycyclic groups (version 1.1), (2003)
(GAP package, available at http://www.gap-system.org/Packages/polycyclic.html)

[GluckTaylor02] Gluck, D. and Taylor, B. D. A New Statistic for the 3x+1 Problem, Proc. Amer. Math. Soc., 130 (5), (2002), p. 1293-1301

[Grigorchuk80] Grigorchuk, R. I. Burnside's Problem on Periodic Groups, Functional Anal. Appl., 14, (1980), p. 41-43

[LaHarpe00] de la Harpe, P. Topics in Geometric Group Theory, Chicago Lectures in Mathematics, (2000)

[Keller99] Keller, T. P. Finite Cycles of Certain Periodically Linear Permutations, Missouri J. Math. Sci., 11 (3), (1999), p. 152-157

[Kohl05] Kohl, S. Restklassenweise affine Gruppen, Universität Stuttgart, (2005)
(http://deposit.ddb.de/cgi-bin/dokserv?idn=977164071)

[Kohl06a] Kohl, S. Wildness of Iteration of Certain Residue Class-Wise Affine Mappings, Adv. Appl. Math., ? (?), (2006), p. approx. 8 pages
(to appear)

[Kohl06b] Kohl, S. A Simple Group Generated by Involutions Interchanging Residue Classes of the Integers, (2006), p. approx. 15 pages
(Preprint, available at http://www.cip.mathematik.uni-stuttgart.de/~kohlsn/preprints/simplegp.pdf)

[Lagarias06] Lagarias, J. C. 3x+1 Problem Annotated Bibliography, (2006)
(http://arxiv.org/abs/math.NT/0309224)

[GAPDoc] Lübeck, F. and Neunhöffer, M. GAPDoc (version 0.99), RWTH Aachen, (2002)
(GAP package, available at http://www.gap-system.org/Packages/gapdoc.html)

[MatthewsLeigh87] Matthews, K. R. and Leigh, G. M. A Generalization of the Syracuse Algorithm in \(\GFq[x]\), J. Number Theory, 25, (1987), p. 274-278

[Mihailova58] Mihailova, K. A. The Occurence Problem for Direct Products of Groups, Dokl. Acad. Nauk. SSSR, 119, (1958), p. 1103-1105

[GRAPE] Soicher, L. GRAPE -- GRaph Algorithms using PErmutation groups (version 4.1), Queen Mary, University of London, (2002)
(GAP package, available at http://www.gap-system.org/Packages/grape.html)

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