POLYNOMIAL COHOMOLOGY AND POLYNOMIAL MAPS ON NILPOTENT GROUPS
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DOI: 10.1017/s0017089519000429
Abstract: Abstract We introduce a refined version of group cohomology and relate it to the space of polynomials on the group in question. We show that the polynomial cohomology with trivial coefficients admits a description in… read more here.
Keywords: cohomology; maps nilpotent; polynomial cohomology; cohomology polynomial ... See more keywords
Dynamical modular curves for quadratic polynomial maps
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DOI: 10.1090/tran/7474
Abstract: Motivated by the dynamical uniform boundedness conjecture of Morton and Silverman, specifically in the case of quadratic polynomials, we give a formal construction of a certain class of dynamical analogues of classical modular curves. The… read more here.
Keywords: polynomial maps; curves quadratic; preperiodic points; dynamical modular ... See more keywords
Triangularization of Matrices and Polynomial Maps
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DOI: 10.4153/s0008439519000250
Abstract: Abstract We present conditions for a set of matrices satisfying a permutation identity to be simultaneously triangularizable. As applications of our results, we generalize Radjavi’s result on triangularization of matrices with permutable trace and results… read more here.
Keywords: polynomial maps; matrices polynomial; triangularization matrices; triangularization ... See more keywords