Polynomiality of the faithful dimension for nilpotent groups over finite truncated valuation rings
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Publication:6062128
DOI10.1090/tran/9032arXiv2204.12412OpenAlexW4385489936MaRDI QIDQ6062128
Mohammad Bardestani, Keivan Mallahi Karai, Dzmitry Rumiantsau, Hadi Salmasian
Publication date: 30 November 2023
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.12412
Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Rational points (14G05)
Cites Work
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- Some consequences of the Karpenko-Merkurjev theorem.
- Essential dimension of finite \(p\)-groups.
- The orbit method for profinite groups and a \(p\)-adic analogue of Brown's theorem.
- A remark on Ax's theorem on solvability modulo primes
- Kirillov theory for compact p-adic groups
- Proof of Springer's hypothesis
- Essential dimension: A functorial point of view (after A. Merkurjev)
- Diophantine approximation on matrices and Lie groups
- Sets of primes determined by systems of polynomial congruences
- Representation zeta functions of compact \(p\)-adic analytic groups and arithmetic groups
- The elementary theory of finite fields
- Solving diophantine problems modulo every prime
- Strictly local solutions of diophantine equations
- Functional equations for local normal zeta functions of nilpotent groups. With an appendix by A. Beauville.
- Minimal dimension of faithful representations for \(p\)-groups
- Enumerating classes and characters of 𝑝-groups
- Zeta functions of groups and enumeration in Bruhat-Tits buildings
- Kirillov's orbit method and polynomiality of the faithful dimension of $p$-groups
- Essential dimension
- Representation zeta functions of nilpotent groups and generating functions for Weyl groups of type B
- Irreducible Subvarieties and Rational Points
- Diophantine Problems Over Local Fields I
- Commutative Artinian Principal Ideal Rings
- Number fields
- Weighted Ehrhart series and a type-\(\mathsf{B}\) analogue of a formula of MacMahon
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