Finite group: Difference between revisions

During the twentieth century, mathematicians investigated some aspects of the theory of finite groups in great depth, especially the [[Local analysis|local theory]] of finite groups and the theory of [[Solvable group|solvable]] and [[nilpotent group]]s.<ref>{{cite news | first = Michael | last = Aschbacher | authorlinkauthor-link = Michael Aschbacher | year = 2004 | url = httphttps://www.ams.org/notices/200407/fea-aschbacher.pdf | title = The Status of the Classification of the Finite Simple Groups | journal = [[Notices of the American Mathematical Society]] | volume = 51 | issue = 7 | pages = 736–740 | ref=harv}}</ref><ref>[[Daniel Gorenstein]] (1985), "The Enormous Theorem", ''Scientific American'', December 1, 1985, vol. 253, no. 6, pp.&nbsp;104–115.</ref> As a consequence, the complete [[classification of finite simple groups]] was achieved, meaning that all those [[simple group]]s from which all finite groups can be built are now known.

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* {{Cite book| last=Jacobson| first=Nathan | year=2009| title=Basic Algebra I | edition=2nd | publisher=[[Dover Publications]] | isbn = 978-0-486-47189-1 |ref=harv}}