群 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "群" in Chinese language version.

refsWebsite

Global rank Chinese rank

26ams.org

451^st place

935^th place

6worldcat.org

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12^th place

5web.archive.org

1^st place

3jstor.org

26^th place

113^th place

1gutenberg.org

489^th place

1,201^st place

1umich.edu

459^th place

752^nd place

1cornell.edu

332^nd place

526^th place

1ohio-state.edu

5,528^th place

4,862^nd place

1doi.org

2^nd place

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1arxiv.org

69^th place

254^th place

ams.org (Global: 451^st place; Chinese: 935^th place)

Herstein 1975, §2, p. 26 Herstein, Israel Nathan, Topics in algebra 2nd, Lexington, Mass.: Xerox College Publishing, 1975, MR 0356988 .
Hall 1967, §1.1, p. 1:“群的想法遍布在包括純數學和應用數學二者的整個數學中。” Hall, G. G., Applied group theory, American Elsevier Publishing Co., Inc., New York, 1967, MR 0219593 , an elementary introduction.
Kleiner 1986 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Kleiner 1986, p. 202 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Kleiner 1986, p. 204 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Mackey 1976 Mackey, George Whitelaw, The theory of unitary group representations, University of Chicago Press, 1976, MR 0396826
Aschbacher 2004 Aschbacher, Michael, The Status of the Classification of the Finite Simple Groups (PDF), Notices of the American Mathematical Society, 2004, 51 (7): 736–740 [2008-09-13], ISSN 0002-9920, （原始内容存档 (PDF)于2011-06-05） .
Herstein 1975, §2.1, p. 27 Herstein, Israel Nathan, Topics in algebra 2nd, Lexington, Mass.: Xerox College Publishing, 1975, MR 0356988 .
Lang 2002, §I.2, p. 9 Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York, 2002, ISBN 978-0-387-95385-4, MR 1878556 .
Neukirch 1999，特別是§§I.12和I.13 Neukirch, Jürgen, Algebraic Number Theory, Grundlehren der mathematischen Wissenschaften 322, Berlin: Springer-Verlag, 1999, ISBN 978-3-540-65399-8, MR 1697859
Seress 1997 Seress, Ákos, An introduction to computational group theory, Notices of the American Mathematical Society, 1997, 44 (6): 671–679, ISSN 0002-9920, MR 1452069, （原始内容存档于2007-02-08） .
Rosen 2000, p. 54 (Theorem 2.1) Rosen, Kenneth H., Elementary number theory and its applications 4th, Addison-Wesley, 2000, ISBN 978-0-201-87073-2, MR 1739433 .
Lang 2002, §I.5, p. 26, 29 Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York, 2002, ISBN 978-0-387-95385-4, MR 1878556 .
Mumford, Fogarty & Kirwan 1994 Mumford, David; Fogarty, J.; Kirwan, F., Geometric invariant theory 34 3rd, Berlin, New York: Springer-Verlag, 1994, ISBN 978-3-540-56963-3, MR 1304906 .
Kuipers 1999 Kuipers, Jack B., Quaternions and rotation sequences - A primer with applications to orbits, aerospace, and virtual reality, Princeton University Press, 1999, ISBN 978-0-691-05872-6, MR 1670862 .
Fulton & Harris 1991 Fulton, William; Harris, Joe, Representation theory. A first course, Graduate Texts in Mathematics, Readings in Mathematics 129, New York: Springer-Verlag, 1991, ISBN 978-0-387-97495-8, MR 1153249, ISBN 978-0-387-97527-6
Serre 1977 Serre, Jean-Pierre, Linear representations of finite groups, Berlin, New York: Springer-Verlag, 1977, ISBN 978-0-387-90190-9, MR 0450380 .
Lang 2002, Chapter VI (see in particular p. 273 for concrete examples) Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York, 2002, ISBN 978-0-387-95385-4, MR 1878556 .
Lang 2002, p. 292 (Theorem VI.7.2) Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York, 2002, ISBN 978-0-387-95385-4, MR 1878556 .
Kurzweil & Stellmacher 2004 Kurzweil, Hans; Stellmacher, Bernd, The theory of finite groups, Universitext, Berlin, New York: Springer-Verlag, 2004, ISBN 978-0-387-40510-0, MR 2014408 .
Artin 1991, Theorem 6.1.14.另见Lang 2002, p. 77，其中包含类似结果。 Artin, Michael, Algebra, Prentice Hall, 1991, ISBN 978-0-89871-510-1 , Chapter 2 contains an undergraduate-level exposition of the notions covered in this article. Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York, 2002, ISBN 978-0-387-95385-4, MR 1878556 .
Lang 2002, §I. 3, p. 22 Lang, Serge, Algebra, Graduate Texts in Mathematics 211, Berlin, New York, 2002, ISBN 978-0-387-95385-4, MR 1878556 .
Neukirch 1999 Neukirch, Jürgen, Algebraic Number Theory, Grundlehren der mathematischen Wissenschaften 322, Berlin: Springer-Verlag, 1999, ISBN 978-3-540-65399-8, MR 1697859
Shatz 1972 Shatz, Stephen S., Profinite groups, arithmetic, and geometry, Princeton University Press, 1972, ISBN 978-0-691-08017-8, MR 0347778
Borel 1991 Borel, Armand, Linear algebraic groups, Graduate Texts in Mathematics 126 2nd, Berlin, New York: Springer-Verlag, 1991, ISBN 978-0-387-97370-8, MR 1102012 .
Naber 2003 Naber, Gregory L., The geometry of Minkowski spacetime, New York: Dover Publications, 2003, ISBN 978-0-486-43235-9, MR 2044239 .

arxiv.org (Global: 69^th place; Chinese: 254^th place)

Becchi 1997 Becchi, C., Introduction to Gauge Theories, 1997 [2008-05-15], （原始内容存档于2016-10-07） .

cornell.edu (Global: 332^nd place; Chinese: 526^th place)

math.cornell.edu

Hatcher 2002, Chapter I, p. 30 Hatcher, Allen, Algebraic topology, Cambridge University Press, 2002 [2008-09-13], ISBN 978-0-521-79540-1, （原始内容存档于2018-05-19） .

doi.org (Global: 2^nd place; Chinese: 23^rd place)

Jahn & Teller 1937 Jahn, H.; Teller, E., Stability of Polyatomic Molecules in Degenerate Electronic States. I. Orbital Degeneracy, Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934-1990), 1937, 161 (905): 220–235, doi:10.1098/rspa.1937.0142 .

gutenberg.org (Global: 489^th place; Chinese: 1,201^st place)

Smith 1906 Smith, David Eugene, History of Modern Mathematics, Mathematical Monographs, No. 1, 1906 [2008-09-13], （原始内容存档于2008-09-19） .

jstor.org (Global: 26^th place; Chinese: 113^th place)

Kleiner 1986 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Kleiner 1986, p. 202 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Kleiner 1986, p. 204 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .

ohio-state.edu (Global: 5,528^th place; Chinese: 4,862^nd place)

math.ohio-state.edu

Seress 1997 Seress, Ákos, An introduction to computational group theory, Notices of the American Mathematical Society, 1997, 44 (6): 671–679, ISSN 0002-9920, MR 1452069, （原始内容存档于2007-02-08） .

umich.edu (Global: 459^th place; Chinese: 752^nd place)

hti.umich.edu

Cayley 1889 Cayley, Arthur, The collected mathematical papers of Arthur Cayley, II (1851 - 1860), Cambridge University Press, 1889 .

web.archive.org (Global: 1^st place; Chinese: 1^st place)

Smith 1906 Smith, David Eugene, History of Modern Mathematics, Mathematical Monographs, No. 1, 1906 [2008-09-13], （原始内容存档于2008-09-19） .
Aschbacher 2004 Aschbacher, Michael, The Status of the Classification of the Finite Simple Groups (PDF), Notices of the American Mathematical Society, 2004, 51 (7): 736–740 [2008-09-13], ISSN 0002-9920, （原始内容存档 (PDF)于2011-06-05） .
Hatcher 2002, Chapter I, p. 30 Hatcher, Allen, Algebraic topology, Cambridge University Press, 2002 [2008-09-13], ISBN 978-0-521-79540-1, （原始内容存档于2018-05-19） .
Seress 1997 Seress, Ákos, An introduction to computational group theory, Notices of the American Mathematical Society, 1997, 44 (6): 671–679, ISSN 0002-9920, MR 1452069, （原始内容存档于2007-02-08） .
Becchi 1997 Becchi, C., Introduction to Gauge Theories, 1997 [2008-05-15], （原始内容存档于2016-10-07） .

worldcat.org (Global: 5^th place; Chinese: 12^th place)

Kleiner 1986 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Kleiner 1986, p. 202 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Kleiner 1986, p. 204 Kleiner, Israel, The evolution of group theory: a brief survey (subscription required), Mathematics Magazine, 1986, 59 (4): 195–215, ISSN 0025-570X, MR 863090 .
Aschbacher 2004 Aschbacher, Michael, The Status of the Classification of the Finite Simple Groups (PDF), Notices of the American Mathematical Society, 2004, 51 (7): 736–740 [2008-09-13], ISSN 0002-9920, （原始内容存档 (PDF)于2011-06-05） .
Ledermann 1973, §II.12, p. 39 Ledermann, Walter, Introduction to group theory, New York: Barnes and Noble, 1973, OCLC 795613 .
Seress 1997 Seress, Ákos, An introduction to computational group theory, Notices of the American Mathematical Society, 1997, 44 (6): 671–679, ISSN 0002-9920, MR 1452069, （原始内容存档于2007-02-08） .

群 (Chinese Wikipedia)

ams.org (Global: 451st place; Chinese: 935th place)

arxiv.org (Global: 69th place; Chinese: 254th place)

cornell.edu (Global: 332nd place; Chinese: 526th place)

math.cornell.edu

doi.org (Global: 2nd place; Chinese: 23rd place)

gutenberg.org (Global: 489th place; Chinese: 1,201st place)

jstor.org (Global: 26th place; Chinese: 113th place)

ohio-state.edu (Global: 5,528th place; Chinese: 4,862nd place)