Rationality of P-Group Actions

By Huah Chu, M. Kang. 2001

57 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/7ab8c3aaf0dd146e7908121640c137507179a00f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Discrete Mathematics and Combinatorics

1. B. Totaro
2. David Anderson
3. Sam Payne

In Geometry and Topology

1. B. Totaro
2. J.-J. Sansuc
3. J.-L. Colliot-Th'elene
4. Sam Payne
5. Max Lieblich
6. Philipp Gross
7. Fabio Nironi
8. Y. Félix

In Mathematical Physics

1. B. Totaro
2. J.-J. Sansuc
3. J.-L. Colliot-Th'elene
4. Sam Payne
5. Y. Félix
6. Max Lieblich
7. Fabio Nironi
8. Philipp Gross

Citations in the corpus

• Noether's problem and unramified Brauer groups (2012, background): “-rational. (2) (Bogomolov [Bo]) There is a group Gof order p6 such that B 0(G) 6= 0 . Thus k(G) is not k-rational. For p-groups of small order, we have the following result. Theorem 1.6 (Chu and Kang [CK]) Let pbe any prime number, Gis a p-group of order ≤ p4 and of exponent e. If kis a field satisfy”
• The rationality problem for fields of invariants under linear algebraic groups (with special regards to the Brauer group) (2005, background): “For further results on the rationality of the field of invariants for a linear action of other small finite groups, see [1, 29,30,111,123].”
• The motive of a classifying space (2014, background): “e, if k is a field of characteristic not p which contains the eth roots of unity, then BG is stably rational over k [13].”