 | This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these messages)
|
In mathematics, in the area of abstract algebra, a signalizer functor is a mapping from a potential finite subgroup to the centralizers of the nontrivial elements of an abelian group. The signalizer functor theorem provides the conditions under which the source of such a functor is in fact a subgroup.
The signalizer functor was first defined by Daniel Gorenstein.[1] George Glauberman proved the Solvable Signalizer Functor Theorem for solvable groups[2] and Patrick McBride proved it for general groups.[3][4] Results concerning signalizer functors play a major role in the classification of finite simple groups.
- ^ Cite error: The named reference
gorensteinwas invoked but never defined (see the help page). - ^ Cite error: The named reference
glaubermanwas invoked but never defined (see the help page). - ^ Cite error: The named reference
mcbride-1982awas invoked but never defined (see the help page). - ^ Cite error: The named reference
mcbride-1982bwas invoked but never defined (see the help page).