%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %W rcwa.bib RCWA documentation Stefan Kohl %% %H $Id: rcwa.bib,v 1.42 2007/04/05 13:12:47 stefan Exp $ %% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% @Article{Andaloro00, Author = {P. Andaloro}, Title = {On Total Stopping Times under 3x+1 Iteration}, Journal = {Fibonacci Quarterly}, Year = 2000, Volume = 38, Pages = {73-78}, MRNumber = {MR1738650 (2000m:11024)}} @Book{BhattacharjeeMacphersonMoellerNeumann98, Author = {Meenaxi Bhattacharjee and Dugald Macpherson and Rögnvaldur G. Möller and Peter M. Neumann}, Title = {Notes on Infinite Permutation Groups}, Series = {Lecture Notes in Mathematics}, Number = 1698, Year = 1998, Publisher = {Springer-Verlag}, ISBN = {3-540-64965-4}, MRNumber = {MR1632579 (99e:20003)}} @Book{DixonMortimer96, Author = {John D. Dixon and Brian Mortimer}, Title = {Permutation Groups}, Series = {Graduate Texts in Mathematics}, Number = 163, Year = 1996, Publisher = {Springer-Verlag}, ISBN = {0-387-94599-7}, MRNumber = {MR1409812 (98m:20003)}} @InProceedings{Farkas04, Author = {H. M. Farkas}, Title = {Variants of the 3n+1 Problem and Multiplicative Semigroups}, Booktitle = {Proc. Robert Brooks Memorial Conference}, Series = {Contemp. Math.}, Publisher = {Amer. Math. Soc.}, Year = 2004} @Article{Fuerstenberg55, Author = {Harry Fürstenberg}, Title = {On the Infinitude of Primes}, Journal = {Amer. Math. Monthly}, Year = 1955, Volume = 62, Pages = {353}, MRNumber = {MR0068566 (16,904e)}} @Manual{GAPDoc, Author = {Frank Lübeck and Max Neunhöffer}, Title = {{GAPDoc (Version 0.99999)}}, Year = 2006, Organization = {RWTH Aachen}, Note = {\textsf{GAP} package, published at http://www.gap-system.org/Packages/gapdoc.html}} @Article{GluckTaylor02, Author = {David Gluck and Brian D. Taylor}, Title = {A New Statistic for the 3x+1 Problem}, Journal = {Proc. Amer. Math. Soc.}, Year = 2002, Volume = 130, Number = 5, Pages = {1293-1301}, MRNumber = {MR1879950 (2002k:11031)}} @Manual{GRAPE, Author = {Leonard Soicher}, Title = {{GRAPE -- GRaph Algorithms using PErmutation groups (Version 4.3)}}, Year = 2006, Organization = {Queen Mary, University of London}, Note = {\textsf{GAP} package, published at http://www.gap-system.org/Packages/grape.html}} @Misc{GreenTao04, Author = {Ben Green and Terence Tao}, Title = {The Primes Contain Arbitrarily Long Arithmetic Progressions}, Year = 2004, Note = {arXiv:math.NT/0404188v1}} @Article{Grigorchuk80, Author = {Rostislav I. Grigorchuk}, Title = {Burnside's Problem on Periodic Groups}, Journal = {Functional Anal. Appl.}, Year = 1980, Volume = 14, Pages = {41-43}, MRNumber = {MR0565099 (81m:20045)}} @Book{HoltEickOBrien05, Author = {Derek F. Holt and Bettina Eick and Eamonn A. O'Brien}, Title = {Handbook of Computational Group Theory}, Series = {Discrete Mathematics and its Applications (Boca Raton)}, Year = 2005, Publisher = {Chapman \& Hall / CRC, Boca Raton, FL}, Pages = {xvi+514}, ISBN = {1-58488-372-3}, MRNumber = {2129747 (2006f:20001)}} @Article{Keller99, Author = {Timothy P. Keller}, Title = {Finite Cycles of Certain Periodically Linear Permutations}, Journal = {Missouri J. Math. Sci.}, Year = 1999, Volume = 11, Number = 3, Pages = {152-157}, MRNumber = {MR1717767}} @PhDThesis{Kohl05, Author = {Stefan Kohl}, Title = {{Restklassenweise affine Gruppen}}, School = {Universität Stuttgart}, Type = {Dissertation}, Year = 2005, Note = {http://deposit.ddb.de/cgi-bin/dokserv?idn=977164071}} @Article{Kohl06a, Author = {Stefan Kohl}, Title = {Wildness of Iteration of Certain Residue-Class-Wise Affine Mappings}, Journal = {Adv. in Appl. Math.}, Year = 2006, Note = {doi:10.1016/j.aam.2006.08.003}} @Misc{Kohl06b, Author = {Stefan Kohl}, Title = {A Simple Group Generated by Involutions Interchanging Residue Classes of the Integers}, Year = 2006, Note = {Preprint, available at http://www.cip.mathematik.uni-stuttgart.de/~kohlsn/preprints/simplegp.pdf}} @Misc{Kohl07a, Author = {Stefan Kohl}, Title = {A New Class of Groups which are Accessible to Computational Methods}, Year = 2007, Note = {Preprint, available at http://www.cip.mathematik.uni-stuttgart.de/~kohlsn/preprints/compute.pdf}} @Misc{Kohl07b, Author = {Stefan Kohl}, Title = {Graph Theoretical Criteria for the Wildness of Residue-Class-Wise Affine Permutations}, Year = 2007, Note = {Preprint, available at http://www.cip.mathematik.uni-stuttgart.de/~kohlsn/preprints/graphcrit.pdf}} @Misc{Kohl07c, Author = {Stefan Kohl}, Title = {A Reformulation of the 3n+1 Conjecture in Terms of a Mapping from the Free Monoid of Rank 2 to the Positive Integers}, Year = 2007, Note = {Preprint, available at http://www.cip.mathematik.uni-stuttgart.de/~kohlsn/preprints/3n+1tree.pdf}} @Misc{Lagarias06, Author = {Jeffrey C. Lagarias}, Title = {3x+1 Problem Annotated Bibliography}, Year = 2006, Note = {http://arxiv.org/abs/math.NT/0309224}} @Book{LaHarpe00, Author = {Pierre de la Harpe}, Title = {Topics in Geometric Group Theory}, Year = 2000, Publisher = {Chicago Lectures in Mathematics}, ISBN = {0-226-31721-8}, MRNumber = {MR1786869 (2001i:20081)}} @Book{LyndonSchupp77, Author = {Roger C. Lyndon and Paul E. Schupp}, Title = {Combinatorial Group Theory}, Year = 1977, Publisher = {Springer-Verlag}, ISBN = {3-540-41158-5}, Note = {Reprinted in the Springer Classics in Mathematics Series, 2000.}, MRNumber = {MR0577064 (58 #28182)}} @Article{MatthewsLeigh87, Author = {K. R. Matthews and G. M. Leigh}, Title = {A Generalization of the {Syracuse} Algorithm in {GF(q)[x]}}, Journal = {J. Number Theory}, Year = 1987, Volume = 25, Pages = {274-278}, MRNumber = {MR0880462 (88f:11116)}} @Article{Mihailova58, Author = {K. A. Mihailova}, Title = {The Occurence Problem for Direct Products of Groups}, Journal = {Dokl. Acad. Nauk. SSSR}, Year = 1958, Volume = 119, Pages = {1103-1105}, MRNumber = {MR0100018 (20 #6454)}} @Manual{Polycyclic, Author = {Bettina Eick and Werner Nickel}, Title = {{Polycyclic -- Computation with polycyclic groups; Version 2.1}}, Year = 2006, Note = {\textsf{GAP} package, published at http://www.gap-system.org/Packages/polycyclic.html}} @Article{Venturini92, Author = {G. Venturini}, Title = {Iterates of Number-Theoretic Functions with Periodic Rational Coefficients (Generalization of the 3x+1 Problem)}, Journal = {Stud. Appl. Math}, Year = 1992, Volume = 86, Pages = {185-218}, MRNumber = {MR1150010 (93b:11102)}} @Book{Wirsching98, Author = {Günther J. Wirsching}, Title = {The Dynamical System Generated by the 3n+1 Function}, Series = {Lecture Notes in Mathematics}, Number = 1681, Year = 1998, Publisher = {Springer-Verlag}, ISBN = {3-540-63970-5}, MRNumber = {MR1612686 (99g:11027)}} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %% %E rcwa.bib . . . . . . . . . . . . . . . . . . . . . . . . . ends here