| 释义 |
- References
In mathematical finite group theory, the Baer–Suzuki theorem, proved by {{harvtxt|Baer|1957}} and {{harvtxt|Suzuki|1965}}, states that if any two elements of a conjugacy class C of a finite group generate a nilpotent subgroup, then all elements of the conjugacy class C are contained in a nilpotent subgroup. {{harvtxt|Alperin|Lyons|1971}} gave a short elementary proof. References- {{Citation | last1=Alperin | first1=J. L. | author1-link=J. L. Alperin | last2=Lyons | first2=Richard | title=On conjugacy classes of p-elements | mr=0289622 | year=1971 | journal=Journal of Algebra | issn=0021-8693 | volume=19 | pages=536–537 | doi=10.1016/0021-8693(71)90086-x}}
- {{Citation | last1=Baer | first1=Reinhold | author1-link=Reinhold Baer | title=Engelsche Elemente Noetherscher Gruppen | doi=10.1007/BF02547953 | mr=0086815 | year=1957 | journal=Mathematische Annalen | issn=0025-5831 | volume=133 | pages=256–270}}
- {{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | title=Finite groups | url=http://www.ams.org/bookstore-getitem/item=CHEL-301-H | publisher=Chelsea Publishing Co. | location=New York | edition=2nd | isbn=978-0-8284-0301-6 | mr=569209 | year=1980}}
- {{Citation | last1=Suzuki | first1=Michio | author1-link=Michio Suzuki | title=Finite groups in which the centralizer of any element of order 2 is 2-closed | jstor=1970569 | mr=0183773 | year=1965 | journal=Annals of Mathematics |series=Second Series | issn=0003-486X | volume=82 | pages=191–212 | doi=10.2307/1970569}}
{{DEFAULTSORT:Baer-Suzuki theorem}}{{abstract-algebra-stub}} 2 : Finite groups|Theorems in group theory |