Bogomolov multipliers and retract rationality for semidirect products

DOI10.1016/j.jalgebra.2013.08.039zbMath1345.12004arXiv1207.5867OpenAlexW2963017118MaRDI QIDQ405877

Ming-chang Kang

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1207.5867

zbMATH Keywords

Noether's problemcohomology of finite groupsBogomolov multiplierrationality problemunramified Brauer groupsretract rationality

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Cohomology of groups (20J06) Actions of groups on commutative rings; invariant theory (13A50) Inverse Galois theory (12F12) Transcendental field extensions (12F20) Rationality questions in algebraic geometry (14E08)

Related Items

Bogomolov multipliers for some \(p\)-groups of nilpotency class 2 ⋮ Noether's problem for some semidirect products ⋮ Birational classification of fields of invariants for groups of order 128 ⋮ An exact sequence and triviality of Bogomolov multiplier of groups ⋮ Units of group rings, the Bogomolov multiplier and the fake degree conjecture ⋮ The Bogomolov multiplier of rigid finite groups ⋮ The Bogomolov multiplier of Lie algebras ⋮ Bogomolov multiplier and the Lazard correspondence ⋮ Bogomolov multipliers of some groups of order p⁶ ⋮ On Bogomolov multiplier and \(\Sha\)-rigidity of groups ⋮ Degree three unramified cohomology groups and Noether's problem for groups of order 243 ⋮ On Noether's problem for cyclic groups of prime order

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