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Monomial group : ウィキペディア英語版
Monomial group
In mathematics, in the area of algebra studying the character theory of finite groups, an M-group or monomial group is a finite group whose complex irreducible characters are all monomial, that is, induced from characters of degree 1 .
In this section only finite groups are considered. A monomial group is solvable by , presented in textbook in and . Every supersolvable group and every solvable A-group is a monomial group. Factor groups of monomial groups are monomial, but subgroups need not be, since every finite solvable group can be embedded in a monomial group, as shown by and in textbook form in .
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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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