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Fitting length : ウィキペディア英語版
Fitting length
In mathematics, especially in the area of algebra known as group theory, the Fitting length (or nilpotent length) measures how far a solvable group is from being nilpotent. The concept is named after Hans Fitting, due to his investigations of nilpotent normal subgroups.
== Definition ==
A Fitting chain (or Fitting series or ) for a group is a subnormal series with nilpotent quotients. In other words, a finite sequence of subgroups including both the whole group and the trivial group, such that each is a normal subgroup of the previous one, and such that the quotients of successive terms are nilpotent groups.
The Fitting length or nilpotent length of a group is defined to be the smallest possible length of a Fitting chain, if one exists.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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