Finite solvable groups with a rational skew-field of noncommutative real rational invariants

DOI10.1080/00927872.2022.2156526OpenAlexW3214793839MaRDI QIDQ5887152

Gregor Podlogar

Publication date: 17 April 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.11568

zbMATH Keywords

Clifford theorymultiplicity free restrictionsnoncommutative Noether's problemnoncommutative rational invarianttotally unramified groups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Actions of groups and semigroups; invariant theory (associative rings and algebras) (16W22) Other classes of groups defined by subgroup chains (20F22) Infinite-dimensional and general division rings (16K40) Projective representations and multipliers (20C25)

Related Items (1)

Periodic automorphisms of free groups are diagonalisable in free skew fields

Uses Software

• GAP

Cites Work

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• Noncommutative rational functions invariant under the action of a finite solvable group
• Noether's problem over an algebraically closed field
• Ordering coproducts of groups and semigroups
• Rational functions invariant under a finite Abelian group
• A rationality criterion coming from noncommutative geometry
• Free functions with symmetry
• Matrix coefficient realization theory of noncommutative rational functions
• Noncommutative symmetric functions
• Noncommutative rational functions, their difference-differential calculus and realizations
• Malcev-Neumann series and the free field
• Groups of order \(p^5\) and their unramified Brauer groups
• Noether's problem and unramified Brauer groups
• Symmetric functions of two noncommuting variables
• Rational identities and applications to algebra and geometry
• Invariants of finite Abelian groups
• Rational series in the free group and the Connes operator
• Noether's Problem and the Unramified Brauer Group for Groups of Order 64
• The Groups of Order p 6 (p and Odd Prime)
• A Characterization of Periodic Automorphisms of a Free Group
• Fields of Fractions for Group Algebras of Free Groups
• A theorem on restricted group representations.
• Gelfand Triples and Their Hecke Algebras

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