Let the reductive group G act on the finitely generated commutative k-algebra A. We ask if the finite generation property of the ring of invariants extends to the full cohomology ring. We confirm this when the action on A is replaced by the ‘contracted’ action on the Grosshans graded ring grA, provided the characteristic of k is large.

In this paper we study finite group extensions represented by special cohomology classes. As an application, we obtain some restrictions on finite groups which can act freely on a product of spheres or on a product of real projective spaces. In particular, we prove that if (Z/p)r acts freely on (S1)k , then r ≤ k.

W. Y. C. Chen and R. P. Stanley have characterized the symmetries of the n-cube that act as derangements on the set of k-faces. In this paper we aim to use their result to characterize those finite subgroups of symmetries whose non-trivial members are derangements of the set of k-faces.

Framing an independent, integrated and evidence-based evaluation of the state of Australia's biophysical and human environments Trevor Ward, Steven Cork, Kirstin Dobbs, Peter Harper, Peter Harris, Tom Hatton, Robert Joy, Peter Kanowski, Richard Mackay, Neil McKenzie & Barbara Wienecke a Greenward Consulting, Wembley, WA, Australia b University of Technology Sydney, Ultimo, NSW, Australia c EcoI...

Releasing frequent sequential patterns can compromise individual privacy of underlying sequences. We propose two concrete objectives as a potential standard for privacy-preserving publishing sequential patterns: k-anonymity and α-dissociation. The first one, extended from k-anonymity model for data, addresses the problem of inferring patterns with very low support, say, in [1, k) where k is an ...

Six Escherichia coli and 12 Klebsiella pneumoniae isolates from a single hospital expressed a common beta-lactamase with a pI of approximately 9.0 and were resistant to cefoxitin and cefotetan (MIC ranges, 64 to > 128 and 16 to > 128 micrograms/ml, respectively). Seventeen of the 18 strains produced multiple beta-lactamases. Most significantly, three K. pneumoniae strains were also resistant to...