# Automorphism tower publications

• Degrees of rigidity for Souslin trees
• G. Fuchs and J. D. Hamkins, “Degrees of rigidity for Souslin trees,” Journal of Symbolic Logic, vol. 74, iss. 2, p. 423–454, 2009.
[Bibtex]
@ARTICLE{FuchsHamkins2009:DegreesOfRigidity,
AUTHOR = {Fuchs, Gunter and Hamkins, Joel David},
TITLE = {Degrees of rigidity for {S}ouslin trees},
JOURNAL = {Journal of Symbolic Logic},
FJOURNAL = {Journal of Symbolic Logic},
VOLUME = {74},
YEAR = {2009},
NUMBER = {2},
PAGES = {423--454},
ISSN = {0022-4812},
CODEN = {JSYLA6},
MRCLASS = {03E05},
MRNUMBER = {2518565 (2010i:03049)},
MRREVIEWER = {Stefan Geschke},
URL = {http://wp.me/p5M0LV-3A},
doi = {10.2178/jsl/1243948321},
eprint = {math/0602482},
archivePrefix = {arXiv},
primaryClass = {math.LO},
file = F,
}
• Changing the heights of automorphism towers by forcing with Souslin trees over $L$
• G. Fuchs and J. D. Hamkins, “Changing the heights of automorphism towers by forcing with Souslin trees over $L$,” Journal of Symbolic Logic, vol. 73, iss. 2, p. 614–633, 2008.
[Bibtex]
@ARTICLE{FuchsHamkins2008:ChangingHeightsOverL,
AUTHOR = {Fuchs, Gunter and Hamkins, Joel David},
TITLE = {Changing the heights of automorphism towers by forcing with {S}ouslin trees over {$L$}},
JOURNAL = {Journal of Symbolic Logic},
VOLUME = {73},
YEAR = {2008},
NUMBER = {2},
PAGES = {614--633},
ISSN = {0022-4812},
CODEN = {JSYLA6},
MRCLASS = {03E35},
MRNUMBER = {2414468 (2009e:03094)},
MRREVIEWER = {Lutz Struengmann},
URL = {http://wp.me/p5M0LV-3l},
doi = {10.2178/jsl/1208359063},
eprint = {math/0702768},
archivePrefix = {arXiv},
primaryClass = {math.LO},
file = F,
}
• How tall is the automorphism tower of a group?
• J. D. Hamkins, “How tall is the automorphism tower of a group?,” in Logic and Algebra, Y. Zhang, Ed., Providence, RI: AMS, 2002, vol. 302, p. 49–57.
[Bibtex]
@INCOLLECTION{Hamkins2001:HowTall?,
AUTHOR = {Hamkins, Joel David},
TITLE = {How tall is the automorphism tower of a group?},
BOOKTITLE = {{Logic and Algebra}},
SERIES = {Contemporary Math.},
VOLUME = {302},
PAGES = {49--57},
PUBLISHER = {AMS},
YEAR = {2002},
MRCLASS = {20E36 (03E35 20A15 20F28)},
MRNUMBER = {1928383 (2003g:20048)},
MRREVIEWER = {Martyn R.~Dixon},
editor = {Yi Zhang},
doi = {10.1090/conm/302},
url = {http://wp.me/s5M0LV-howtall},
}
• Changing the heights of automorphism towers
• J. D. Hamkins and S. Thomas, “Changing the heights of automorphism towers,” Ann.~Pure Appl.~Logic, vol. 102, iss. 1-2, p. 139–157, 2000.
[Bibtex]
@article {HamkinsThomas2000:ChangingHeights,
AUTHOR = {Hamkins, Joel David and Thomas, Simon},
TITLE = {Changing the heights of automorphism towers},
JOURNAL = {Ann.~Pure Appl.~Logic},
FJOURNAL = {Annals of Pure and Applied Logic},
VOLUME = {102},
YEAR = {2000},
NUMBER = {1-2},
PAGES = {139--157},
ISSN = {0168-0072},
CODEN = {APALD7},
MRCLASS = {20F28 (03E35 20A15)},
MRNUMBER = {1732058 (2000m:20057)},
MRREVIEWER = {Markus Junker},
DOI = {10.1016/S0168-0072(99)00039-1},
URL = {http://jdh.hamkins.org/changingheightsoverl/},
eprint = {math/9703204},
archivePrefix = {arXiv},
primaryClass = {math.LO},
}
• Every group has a terminating transfinite automorphism tower
• J. D. Hamkins, “Every group has a terminating transfinite automorphism tower,” Proc.~Amer.~Math.~Soc., vol. 126, iss. 11, p. 3223–3226, 1998.
[Bibtex]
@article {Hamkins98:EveryGroup,
AUTHOR = {Hamkins, Joel David},
TITLE = {Every group has a terminating transfinite automorphism tower},
JOURNAL = {Proc.~Amer.~Math.~Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {126},
YEAR = {1998},
NUMBER = {11},
PAGES = {3223--3226},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {20E36 (20F28)},
MRNUMBER = {1487370 (2000e:20057)},
DOI = {10.1090/S0002-9939-98-04797-2},
URL = {http://jdh.hamkins.org/everygroup/},
eprint = {math/9808014},
archivePrefix = {arXiv},
primaryClass = {math.LO},
}