Cyclic group (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Cyclic group" in English language version.

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(Jungnickel 1992, pp. 545–547). Jungnickel, Dieter (1992), "On the uniqueness of the cyclic group of order n", American Mathematical Monthly, 99 (6): 545–547, doi:10.2307/2324062, JSTOR 2324062, MR 1166004
(Alspach 1997, pp. 1–22). Alspach, Brian (1997), "Isomorphism and Cayley graphs on abelian groups", Graph symmetry (Montreal, PQ, 1996), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 497, Dordrecht: Kluwer Acad. Publ., pp. 1–22, ISBN 978-0-792-34668-5, MR 1468786
(Stallings 1970, pp. 124–128). See in particular Groups of cohomological dimension one, p. 126, at Google Books. Stallings, John (1970), "Groups of cohomological dimension one", Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968), Providence, R.I.: Amer. Math. Soc., pp. 124–128, MR 0255689
(Alonso 1991, Corollary 3.6). Alonso, J. M.; et al. (1991), "Notes on word hyperbolic groups", Group theory from a geometrical viewpoint (Trieste, 1990) (PDF), River Edge, NJ: World Scientific, Corollary 3.6, MR 1170363, archived from the original (PDF) on 2013-04-25, retrieved 2013-11-26
(Ore 1938, pp. 247–269). Ore, Øystein (1938), "Structures and group theory. II", Duke Mathematical Journal, 4 (2): 247–269, doi:10.1215/S0012-7094-38-00419-3, hdl:10338.dmlcz/100155, MR 1546048

books.google.com

(Bourbaki 1998, p. 49) or Algebra I: Chapters 1–3, p. 49, at Google Books. Bourbaki, Nicolas (1998-08-03) [1970], Algebra I: Chapters 1-3, Elements of Mathematics, vol. 1 (softcover reprint ed.), Springer Science & Business Media, ISBN 978-3-540-64243-5
(Motwani & Raghavan 1995, p. 401). Motwani, Rajeev; Raghavan, Prabhakar (1995), Randomized Algorithms, Cambridge University Press, Theorem 14.14, p. 401, ISBN 978-0-521-47465-8
(Vinogradov 2003, pp. 105–132, § VI PRIMITIVE ROOTS AND INDICES). Vinogradov, I. M. (2003), "§ VI PRIMITIVE ROOTS AND INDICES", Elements of Number Theory, Mineola, NY: Dover Publications, pp. 105–132, ISBN 0-486-49530-2
(Rotman 1998, p. 65). Rotman, Joseph J. (1998), Galois Theory, Universitext, Springer, Theorem 62, p. 65, ISBN 978-0-387-98541-1
(Stewart & Golubitsky 2010, pp. 47–48). Stewart, Ian; Golubitsky, Martin (2010), Fearful Symmetry: Is God a Geometer?, Courier Dover Publications, pp. 47–48, ISBN 978-0-486-47758-9
(Aluffi 2009, pp. 82–84, 6.4 Example: Subgroups of Cyclic Groups). Aluffi, Paolo (2009), "6.4 Example: Subgroups of Cyclic Groups", Algebra, Chapter 0, Graduate Studies in Mathematics, vol. 104, American Mathematical Society, pp. 82–84, ISBN 978-0-8218-4781-7
(Gannon 2006, p. 18). Gannon, Terry (2006), Moonshine beyond the monster: the bridge connecting algebra, modular forms and physics, Cambridge monographs on mathematical physics, Cambridge University Press, p. 18, ISBN 978-0-521-83531-2, Z_n is simple iff n is prime.
(Gallian 2010, p. 84, Exercise 43). Gallian, Joseph (2010), Contemporary Abstract Algebra (7th ed.), Cengage Learning, Exercise 43, p. 84, ISBN 978-0-547-16509-7
(Alspach 1997, pp. 1–22). Alspach, Brian (1997), "Isomorphism and Cayley graphs on abelian groups", Graph symmetry (Montreal, PQ, 1996), NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., vol. 497, Dordrecht: Kluwer Acad. Publ., pp. 1–22, ISBN 978-0-792-34668-5, MR 1468786
(Vilfred 2004, pp. 34–36). Vilfred, V. (2004), "On circulant graphs", in Balakrishnan, R.; Sethuraman, G.; Wilson, Robin J. (eds.), Graph Theory and its Applications (Anna University, Chennai, March 14–16, 2001), Alpha Science, pp. 34–36, ISBN 8173195692
(Kurzweil & Stellmacher 2004, p. 50). Kurzweil, Hans; Stellmacher, Bernd (2004), The Theory of Finite Groups: An Introduction, Universitext, Springer, p. 50, ISBN 978-0-387-40510-0
(Stallings 1970, pp. 124–128). See in particular Groups of cohomological dimension one, p. 126, at Google Books. Stallings, John (1970), "Groups of cohomological dimension one", Applications of Categorical Algebra (Proc. Sympos. Pure Math., Vol. XVIII, New York, 1968), Providence, R.I.: Amer. Math. Soc., pp. 124–128, MR 0255689
(Fuchs 2011, p. 63). Fuchs, László (2011), Partially Ordered Algebraic Systems, International series of monographs in pure and applied mathematics, vol. 28, Courier Dover Publications, p. 63, ISBN 978-0-486-48387-0

doi.org

(Cox 2012, p. 294, Theorem 11.1.7). Cox, David A. (2012), Galois Theory, Pure and Applied Mathematics (2nd ed.), John Wiley & Sons, Theorem 11.1.7, p. 294, doi:10.1002/9781118218457, ISBN 978-1-118-07205-9
(Cox 2012, p. 295, Corollary 11.1.8 and Theorem 11.1.9). Cox, David A. (2012), Galois Theory, Pure and Applied Mathematics (2nd ed.), John Wiley & Sons, Theorem 11.1.7, p. 294, doi:10.1002/9781118218457, ISBN 978-1-118-07205-9
(Jungnickel 1992, pp. 545–547). Jungnickel, Dieter (1992), "On the uniqueness of the cyclic group of order n", American Mathematical Monthly, 99 (6): 545–547, doi:10.2307/2324062, JSTOR 2324062, MR 1166004
(Ore 1938, pp. 247–269). Ore, Øystein (1938), "Structures and group theory. II", Duke Mathematical Journal, 4 (2): 247–269, doi:10.1215/S0012-7094-38-00419-3, hdl:10338.dmlcz/100155, MR 1546048

encyclopediaofmath.org

"Cyclic group", Encyclopedia of Mathematics, EMS Press, 2001 [1994]
A. L. Shmel'kin (2001) [1994], "Metacyclic group", Encyclopedia of Mathematics, EMS Press
"Polycyclic group", Encyclopedia of Mathematics, EMS Press, 2001 [1994]

handle.net

hdl.handle.net

(Ore 1938, pp. 247–269). Ore, Øystein (1938), "Structures and group theory. II", Duke Mathematical Journal, 4 (2): 247–269, doi:10.1215/S0012-7094-38-00419-3, hdl:10338.dmlcz/100155, MR 1546048

jstor.org

(Lajoie & Mura 2000, pp. 29–33). Lajoie, Caroline; Mura, Roberta (November 2000), "What's in a name? A learning difficulty in connection with cyclic groups", For the Learning of Mathematics, 20 (3): 29–33, JSTOR 40248334
(Jungnickel 1992, pp. 545–547). Jungnickel, Dieter (1992), "On the uniqueness of the cyclic group of order n", American Mathematical Monthly, 99 (6): 545–547, doi:10.2307/2324062, JSTOR 2324062, MR 1166004

univ-mrs.fr

cmi.univ-mrs.fr

(Alonso 1991, Corollary 3.6). Alonso, J. M.; et al. (1991), "Notes on word hyperbolic groups", Group theory from a geometrical viewpoint (Trieste, 1990) (PDF), River Edge, NJ: World Scientific, Corollary 3.6, MR 1170363, archived from the original (PDF) on 2013-04-25, retrieved 2013-11-26

web.archive.org

(Alonso 1991, Corollary 3.6). Alonso, J. M.; et al. (1991), "Notes on word hyperbolic groups", Group theory from a geometrical viewpoint (Trieste, 1990) (PDF), River Edge, NJ: World Scientific, Corollary 3.6, MR 1170363, archived from the original (PDF) on 2013-04-25, retrieved 2013-11-26

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Cycle Graph". MathWorld.