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- W2391004069 abstract "Let R be a finite commutative local ring, M be its unique maximal ideal and K=R/M be the residue class field of R. Let π:RK be the natural homomorphism a｜a mod M, φ and φ:GL nRGL nK be the homomorphism induced by π. The corresponding relations are given under φ between the maximal nilpotent subgroups and their conjugate classes of GL nR and those of GL nK. Next, the classification of the maximal nilpotent subgrous of GL nR is then obtained using a known result on the classification of the maximal nilpotent subgroups of GL nK. A condition is given for two maximal nilpotent subgroups of GL nR to be conjugate." @default.
- W2391004069 created "2016-06-24" @default.
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- W2391004069 date "2001-01-01" @default.
- W2391004069 modified "2023-09-25" @default.
- W2391004069 title "Maximal nilpotent subgroups of linear groups over finite commutative rings" @default.
- W2391004069 hasPublicationYear "2001" @default.
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