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Group theory
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==References== * {{Citation | last1=Borel | first1=Armand | author1-link=Armand Borel | title=Linear algebraic groups | publisher=[[Springer-Verlag]] | location=Berlin, New York | edition=2nd | series=Graduate Texts in Mathematics | isbn=978-0-387-97370-8 | mr=1102012 | year=1991 | volume=126 | doi=10.1007/978-1-4612-0941-6}} * {{Citation | last1=Carter | first1=Nathan C. | title=Visual group theory | url=http://web.bentley.edu/empl/c/ncarter/vgt/ | publisher=[[Mathematical Association of America]] | series=Classroom Resource Materials Series | isbn=978-0-88385-757-1 | mr=2504193 | year=2009}} * {{Citation | last1=Cannon | first1=John J. | title=Computers in group theory: A survey | mr=0290613 | year=1969 | journal=Communications of the ACM | volume=12 | pages=3β12 | doi=10.1145/362835.362837| s2cid=18226463 }} * {{Citation | last1=Frucht | first1=R. | title=Herstellung von Graphen mit vorgegebener abstrakter Gruppe | url=http://www.numdam.org/numdam-bin/fitem?id=CM_1939__6__239_0 | year=1939 | journal=Compositio Mathematica | issn=0010-437X | volume=6 | pages=239β50 | url-status=dead | archive-url=https://web.archive.org/web/20081201083831/http://www.numdam.org/numdam-bin/fitem?id=CM_1939__6__239_0 | archive-date=2008-12-01 }} * {{Citation | last1=Golubitsky | first1=Martin| last2=Stewart | first2=Ian | author1-link=Ian Stewart (mathematician)| title =Nonlinear dynamics of networks: the groupoid formalism |mr=2223010 |journal= Bull. Amer. Math. Soc. (N.S.) |volume=43 | year= 2006 | pages=305β364 | doi=10.1090/S0273-0979-06-01108-6 | issue=3| doi-access=free }} Shows the advantage of generalising from group to [[groupoid]]. * {{Citation | last1=Judson | first1=Thomas W. | title=Abstract Algebra: Theory and Applications | year=1997 | url=http://abstract.ups.edu }} An introductory undergraduate text in the spirit of texts by Gallian or Herstein, covering groups, rings, integral domains, fields and Galois theory. Free downloadable PDF with open-source [[GNU Free Documentation License|GFDL]] license. * {{Citation | doi=10.2307/2690312 | last1=Kleiner | first1=Israel | title=The evolution of group theory: a brief survey | mr=863090 | year=1986 | journal=[[Mathematics Magazine]] | issn=0025-570X | volume=59 | issue=4 | pages=195β215 | jstor=2690312}} * {{Citation | last1=La Harpe | first1=Pierre de | title=Topics in geometric group theory | publisher=[[University of Chicago Press]] | isbn=978-0-226-31721-2 | year=2000}} *{{Citation | author=Livio, M. | author1-link=Mario Livio | title=The Equation That Couldn't Be Solved: How Mathematical Genius Discovered the Language of Symmetry | publisher=Simon & Schuster | year=2005 | isbn=0-7432-5820-7 | url-access=registration | url=https://archive.org/details/equationthatcoul0000livi }} Conveys the practical value of group theory by explaining how it points to [[symmetries]] in [[physics]] and other sciences. * {{Citation | last1=Mumford | first1=David | author1-link=David Mumford | title=Abelian varieties | publisher=[[Oxford University Press]] | isbn=978-0-19-560528-0 | oclc=138290 | year=1970}} * [[Mark Ronan|Ronan M.]], 2006. ''Symmetry and the Monster''. Oxford University Press. {{ISBN|0-19-280722-6}}. For lay readers. Describes the quest to find the basic building blocks for finite groups. *{{Citation | author=Rotman, Joseph | title=An introduction to the theory of groups | location=New York | publisher=Springer-Verlag | year=1994 | isbn=0-387-94285-8}} A standard contemporary reference. * {{Citation|author-link1=Paul Schupp|author-link2=Roger Lyndon | last1=Schupp | first1=Paul E. | last2=Lyndon | first2=Roger C. | title=Combinatorial group theory | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-3-540-41158-1 | year=2001}} *{{Citation | author=Scott, W. R. | title= Group Theory | location=New York | publisher=Dover | year=1987 | orig-year=1964 | isbn=0-486-65377-3}} Inexpensive and fairly readable, but somewhat dated in emphasis, style, and notation. * {{Citation | last1=Shatz | first1=Stephen S. | title=Profinite groups, arithmetic, and geometry | publisher=[[Princeton University Press]] | isbn=978-0-691-08017-8 | mr=0347778 | year=1972}} * {{Weibel IHA|mode=cs2}}
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