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National Research University Higher School of EconomicsStudent ThesesRelative Milnor K-groups of Nilpotent Ring Extentions and Kaehler Differentials

Student
Title
Supervisor
Faculty
Educational Programme
Final Grade
Year of Graduation
Dimitriy Tyurin
Relative Milnor K-groups of Nilpotent Ring Extentions and Kaehler Differentials
Mathematics
(Master’s programme)
10
2017
The goal of present work is to establish an isomorphism between the relative Milnor K-group

K^{M}_{n+1}(R,I) of a split nilpotent extension (R,I) of a ring S=R/I and the quotient of relative K\"ahler

differentials \Omega^n_{R,I}/d\,\Omega^{n-1}_{R,I} whenever S is a weakly 5-fold stable

Q-algebra.

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