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Polynomial maps and polynomial sequences in groups.
- Source :
- Journal of Group Theory; Jul2024, Vol. 27 Issue 4, p739-787, 49p
- Publication Year :
- 2024
-
Abstract
- This paper presents a modified version of Leibman's group-theoretic generalizations of the difference calculus for polynomial maps from nonempty commutative semigroups to groups, and proves that it has many desirable formal properties when the target group is locally nilpotent and also when the semigroup is the set of nonnegative integers. We will apply it to solve Waring's problem for general discrete Heisenberg groups in a sequel to this paper. [ABSTRACT FROM AUTHOR]
- Subjects :
- ABELIAN groups
DIFFERENCE equations
POLYNOMIALS
NONCOMMUTATIVE algebras
INTEGERS
Subjects
Details
- Language :
- English
- ISSN :
- 14335883
- Volume :
- 27
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Group Theory
- Publication Type :
- Academic Journal
- Accession number :
- 178186521
- Full Text :
- https://doi.org/10.1515/jgth-2023-0051