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==References== *{{citation | display-authors = etal | last1 = Alonso | first1 = J. M. | at = Corollary 3.6 | contribution = Notes on word hyperbolic groups | mr = 1170363 | publisher = World Scientific | location = River Edge, NJ | title = Group theory from a geometrical viewpoint (Trieste, 1990) | url = http://www.cmi.univ-mrs.fr/~hamish/Papers/MSRInotes2004.pdf | year = 1991 | access-date = 2013-11-26 | archive-url = https://web.archive.org/web/20130425163632/http://www.cmi.univ-mrs.fr/~hamish/Papers/MSRInotes2004.pdf | archive-date = 2013-04-25 | url-status = dead }} *{{citation | last = Alspach | first = Brian | author-link = Brian Alspach | contribution = Isomorphism and Cayley graphs on abelian groups | location = Dordrecht | mr = 1468786 | pages = 1–22 | publisher = Kluwer Acad. Publ. | series = NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. | title = Graph symmetry (Montreal, PQ, 1996) | url = https://books.google.com/books?id=-tIaXdII8egC&pg=PA1 | volume = 497 | year = 1997 | isbn = 978-0-792-34668-5}} *{{citation|title=Algebra, Chapter 0|volume=104|series=[[Graduate Studies in Mathematics]]|first=Paolo|last=Aluffi| publisher=American Mathematical Society|year=2009|isbn=978-0-8218-4781-7| url=https://books.google.com/books?id=deWkZWYbyHQC&pg=PA82|pages=82–84|contribution=6.4 Example: Subgroups of Cyclic Groups}} *{{Citation |last=Bourbaki |first=Nicolas |author-link=Nicolas Bourbaki |orig-year=1970 |date=1998-08-03 |title=Algebra I: Chapters 1-3 |publisher=Springer Science & Business Media |edition=softcover reprint |series=Elements of Mathematics |volume=1 |url={{Google books|STS9aZ6F204C|Algebra I: Chapters 1-3|page=49|plainurl=yes}} |isbn=978-3-540-64243-5}} *{{citation | last1=Coxeter | first1 = H. S. M. |author1-link=Harold Scott MacDonald Coxeter|last2= Moser|first2= W. O. J. | title=Generators and Relations for Discrete Groups | location=New York | publisher=Springer-Verlag | year=1980 | isbn=0-387-09212-9|page=1}} *{{citation |last1=Lajoie |first1=Caroline |last2=Mura |first2=Roberta |date=November 2000 |title=What's in a name? A learning difficulty in connection with cyclic groups |journal=For the Learning of Mathematics |volume=20 |issue=3 |pages=29–33 |jstor=40248334}} *{{citation | last = Cox | first = David A. | author-link = David A. Cox | doi = 10.1002/9781118218457 | at = Theorem 11.1.7, p. 294 | edition = 2nd | isbn = 978-1-118-07205-9 | publisher = John Wiley & Sons | series = Pure and Applied Mathematics | title = Galois Theory | year = 2012}} *{{citation | last1=Gallian | first1=Joseph | title=Contemporary Abstract Algebra | publisher=Cengage Learning | edition=7th | isbn= 978-0-547-16509-7 | year=2010 | at = Exercise 43, p. 84|url=https://books.google.com/books?id=CnH3mlOKpsMC&pg=PA84}} *{{Citation |last1=Gannon |first1=Terry |title=Moonshine beyond the monster: the bridge connecting algebra, modular forms and physics |series=Cambridge monographs on mathematical physics |year=2006 |publisher=Cambridge University Press |isbn=978-0-521-83531-2|page=18|url=https://books.google.com/books?id=ehrUt21SnsoC&pg=PA18|quotation='''Z'''<sub>''n''</sub> is simple iff ''n'' is prime.}} *{{citation | last = Jungnickel | first = Dieter |author-link=Dieter Jungnickel| doi = 10.2307/2324062 | issue = 6 | journal = [[American Mathematical Monthly]] | mr = 1166004 | pages = 545–547 | title = On the uniqueness of the cyclic group of order ''n'' | volume = 99 | year = 1992| jstor = 2324062 }} *{{citation|title=Partially Ordered Algebraic Systems|volume=28|series=International series of monographs in pure and applied mathematics|first=László|last=Fuchs|author-link=László Fuchs|publisher=Courier Dover Publications|year=2011|isbn=978-0-486-48387-0|page=63|url=https://books.google.com/books?id=V_k79sVPcqYC&pg=PA63}} *{{citation|title=The Theory of Finite Groups: An Introduction|series=Universitext|first1=Hans|last1=Kurzweil| first2=Bernd|last2=Stellmacher|publisher=Springer|year=2004|isbn=978-0-387-40510-0|page=50|url=https://books.google.com/books?id=6foucBXceC4C&pg=PA50}} *{{citation|title=Randomized Algorithms|first1=Rajeev|last1=Motwani|author1-link=Rajeev Motwani|first2=Prabhakar|last2=Raghavan| publisher=Cambridge University Press|year=1995|isbn=978-0-521-47465-8|url=https://books.google.com/books?id=QKVY4mDivBEC&pg=PA401 | at=Theorem 14.14, p. 401}} *{{citation | last = Ore | first = Øystein | author-link = Øystein Ore | doi = 10.1215/S0012-7094-38-00419-3 | mr = 1546048 | issue = 2 | journal = Duke Mathematical Journal | pages = 247–269 | title = Structures and group theory. II | volume = 4 | year = 1938| hdl = 10338.dmlcz/100155 | hdl-access = free }} *{{citation|title=Galois Theory|series=Universitext|first=Joseph J.|last=Rotman|publisher=Springer|year=1998| isbn=978-0-387-98541-1 | url=https://books.google.com/books?id=M32GNlFkmHgC&pg=PA65|at=Theorem 62, p. 65}} *{{citation | last = Stallings | first = John | contribution = Groups of cohomological dimension one | location = Providence, R.I. | mr = 0255689 | pages = 124–128 | publisher = Amer. Math. Soc. | title = Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968) | year = 1970}} *{{citation|title=Fearful Symmetry: Is God a Geometer?|first1=Ian|last1=Stewart|author1-link=Ian Stewart (mathematician) | first2=Martin|last2=Golubitsky|author2-link=Marty Golubitsky|publisher=Courier Dover Publications|year=2010 | isbn=978-0-486-47758-9|pages=47–48|url=https://books.google.com/books?id=7x_MF83tTKQC&pg=PA47}} *{{citation|first=V.|last=Vilfred|contribution=On circulant graphs|title=Graph Theory and its Applications (Anna University, Chennai, March 14–16, 2001)|publisher=Alpha Science|editor1-first=R.|editor1-last=Balakrishnan|editor2-first=G.|editor2-last=Sethuraman |editor3-first=Robin J.|editor3-last=Wilson|year=2004|url=https://books.google.com/books?id=wG-08Lv8E-0C&pg=PA34|pages=34–36|isbn=8173195692}} *{{citation|last1=Vinogradov|first1=I. M.|author1-link=Ivan Matveyevich Vinogradov|year=2003|title=Elements of Number Theory| publisher=Dover Publications|location=Mineola, NY|isbn=0-486-49530-2|chapter=§ VI PRIMITIVE ROOTS AND INDICES| pages=105–132| chapter-url=https://books.google.com/books?id=xlIfdGPM9t4C&pg=PA105}}
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