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・ 3-Phenylazoacetylacetone
・ 3-phenylpropanoate dioxygenase
・ 3-phosphoglycerate phosphatase
・ 3-Phosphoglyceric acid
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3-step group
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・ 3-Succinoylsemialdehyde-pyridine dehydrogenase
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・ 3-Thiophene acetic acid
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3-step group : ウィキペディア英語版
3-step group
In mathematics, a 3-step group is a special sort of group of Fitting length at most 3, that is used in the classification of CN groups and in the Feit–Thompson theorem. The definition of a 3-step group in these two cases is slightly different.
==CN groups==

In the theory of CN groups, a 3-step group (for some prime ''p'') is a group such that:
*''G'' = O''p'',''p''′,''p''(''G'')
* O''p'',''p''′(''G'') is a Frobenius group with kernel O''p''(''G'')
*''G''/O''p''(''G'') is a Frobenius group with kernel O''p'',''p''′(''G'')/O''p''(''G'')
Any 3-step group is a solvable CN-group, and conversely any solvable CN-group is either nilpotent, or a Frobenius group, or a 3-step group.
Example: the symmetric group ''S''4 is a 3-step group for the prime ''p''=2.

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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