Classification of finite simple groups: Difference between revisions

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*[[Daniel Gorenstein]] (1985), "The Enormous Theorem", ''Scientific American'', December 1, 1985, vol. 253, no. 6, pp. 104–115.

*{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | title=Classifying the finite simple groups | doi=10.1090/S0273-0979-1986-15392-9 | year=1986 | journal=Bulletin of the American Mathematical Society |series=New Series | issn=0002-9904 | volume=14 | issue=1 | pages=1–98 | mr=818060| doi-access=free }}

*{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The classification of the finite simple groups | url=https://bookstore.ams.org/surv-40-1-s/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-0334-9 | year=1994 | volume=40. | issue=1 | mr=1303592}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The classification of the finite simple groups, Number 2 | url=https://bookstore.ams.org/surv-40-2/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-0390-5 | year=1996 | volume=40. | issue=2 | mr=1358135}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The classification of the finite simple groups, Number 3 | url=https://bookstore.ams.org/surv-40-3/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-0391-2 | year=1998 | volume=40. | issue=3 | mr=1490581}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The classification of the finite simple groups, Number 4. Part II, Chapters 1-4: Uniqueness Theorems | url=https://bookstore.ams.org/surv-40-4/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-1379-9 | year=1999 | volume=40. | issue=4 | mr=1675976}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The classification of the finite simple groups, Number 5 | url=https://bookstore.ams.org/surv-40-5/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-2776-5 | year=2002 | volume=40. | issue=5 | mr=1923000}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The classification of the finite simple groups, Number 6: Part IV: The Special Odd Case | url=https://bookstore.ams.org/surv-40-6/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-2777-2 | year=2005 | volume=40. | issue=6 | mr=2104668}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon |author3-link=Ronald Solomon| first3=Ronald | title=The classification of the finite simple groups, Number 7: Part III, Chapters 7–11: The Generic Case, Stages 3b and 4a | url=https://bookstore.ams.org/surv-40-7/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-0-8218-4069-6 | year=2018 | volume=40. | issue=7 | mr=3752626}}

**{{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | last2=Lyons | first2=Richard |author2-link=Richard Lyons (mathematician)| last3=Solomon | first3=Ronald |author3-link=Ronald Solomon| title=The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12–17: The Generic Case, Completed | url=https://bookstore.ams.org/surv-40-8/ | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-1-4704-4189-0 | year=2018 | volume=40. | issue=8 | mr=3887657}}

**{{Citation | last1=Capdeboscq| first1=Inna| author1-link=Inna Capdeboscq| last2=Gorenstein | first2=D. | author2-link=Daniel Gorenstein | last3=Lyons | first3=Richard |author3-link=Richard Lyons (mathematician)| last4=Solomon | first4=Ronald |author4-link=Ronald Solomon| title=The Classification of the Finite Simple Groups, Number 9: Part V, Chapters 1-8: Theorem <math>C_5</math> and Theorem <math>C_6</math>, Stage 1 | url=https://www.ams.org/bookstore-getitem/item=surv-40-9 | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-1-4704-6437-0 | year=2021 | volume=40.9 | issue=9| mr=4244365}}

**{{Citation | last1=Capdeboscq| first1=Inna| author1-link=Inna Capdeboscq| last2=Gorenstein | first2=D. | author2-link=Daniel Gorenstein | last3=Lyons | first3=Richard |author3-link=Richard Lyons (mathematician)| last4=Solomon | first4=Ronald |author4-link=Ronald Solomon| title=The Classification of the Finite Simple Groups, Number 10: Part V, Chapters 9-17: Theorem <math>C_6</math> and Theorem <math>C_4^*</math>, Case A | url=https://bookstore.ams.org/surv-40-10 | publisher=[[American Mathematical Society]] | ___location=Providence, R.I. | series=Mathematical Surveys and Monographs | isbn=978-1-4704-7553-6 | year=2023 | volume=40.10 | issue=10| mr=4656413}}

* [[Mark Ronan]], ''Symmetry and the Monster'', {{ISBN|978-0-19-280723-6}}, Oxford University Press, 2006. (Concise introduction for lay reader)

*[[Marcus du Sautoy]], ''Finding Moonshine'', Fourth Estate, 2008, {{ISBN|978-0-00-721461-7}} (another introduction for the lay reader. American edition published in 2009 as Symmetry: A Journey into the Patterns of Nature)