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Frobenius theorem : ウィキペディア英語版 | Frobenius theorem There are several mathematical theorems named after Ferdinand Georg Frobenius. They include: * Frobenius theorem in differential geometry and topology for integrable subbundles; * Frobenius theorem in abstract algebra characterizing the finite-dimensional real division algebras; * Frobenius reciprocity theorem in group representation theory describing the reciprocity relation between restricted and induced representations on a subgroup; * Perron–Frobenius theorem in matrix theory concerning the eigenvalues and eigenvectors of a matrix with positive real coefficients. *Frobenius's theorem (group theory) about the number of solutions of ''x''''n''=1 in a group
抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)』 ■ウィキペディアで「Frobenius theorem」の詳細全文を読む
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