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词条 Balance theorem
释义

  1. References

In mathematical finite group theory, the balance theorem states that if G is a group with no core then G either has disconnected Sylow 2-subgroups or it is of characteristic 2 type or it is of component type {{harv|Gorenstein|1983|p. 7 }}.

The significance of this theorem is that it splits the classification of finite simple groups into three major subcases.

References

  • {{Citation | last1=Gorenstein | first1=D. | author1-link=Daniel Gorenstein | title=The classification of finite simple groups. Vol. 1 | publisher=Plenum Press | series=The University Series in Mathematics | isbn=978-0-306-41305-6 | mr=746470 | year=1983}}

2 : Finite groups|Theorems in group theory

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