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- M L MacDonald, R L Kirby, S T Nugent, D A MacLeod
- Journal of applied physiology
- 1992

Visceral movement due to impact loading is believed to play a role in the locomotor-respiratory coupling (LRC) that has been detected in a number of mammalian species. In the bird and bat species in which LRC has been described, the effect of the wing muscles on the timing of respiration appears to be a dominant influence. To test the hypothesis that LRC… (More)

- Richard J Schwarz, Mark Macdonald
- Plastic and reconstructive surgery
- 2004

Destruction of the nasal septum and nasal bones by Mycobacterium leprae and subsequent infection is still seen regularly in leprosy endemic areas. The social stigma associated with this deformity is significant. Many different procedures have been developed to reconstruct the nose. Patients operated on at Anandaban Hospital and the Green Pastures Hospital… (More)

The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkur-jev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broad class of groups,… (More)

In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3. This has already been done for J of orthogonal and exceptional type, and we extend these results to unitary and symplectic… (More)

The essential dimension is a numerical invariant of an algebraic group G which may be thought of as a measure of complexity of G-torsors over fields. A recent theorem of N. Karpenko and A. Merkur-jev gives a simple formula for the essential dimension of a finite p-group. We obtain similar formulas for the essential p-dimension of a broader class of groups,… (More)

We compute the exact value for the essential p-dimension of the nor-malizer of a split maximal torus for most simple connected linear algebraic groups. These values give new upper bounds on the essential p-dimension of some simple groups, including some exceptional groups. For each connected simple algebraic group, we also give an upper bound on the… (More)

Following up on our earlier work and the work of N. Karpenko and A. Merkurjev, we study the essential p-dimension of linear algebraic groups G whose connected component G 0 is a torus.

- David Nadler, Mark L. MacDonald, Jaya NN Iyer, Stefan Müller–Stach, Thomas Peternell
- 2009

publishes research manuscripts out of all mathematical fields and is refereed in the traditional manner. It is indexed in Mathematical Reviews, Science Citation Index Expanded, Zentralblatt für Mathematik. Manuscripts should be submitted as T E X-files by e-mail to one of the editors. Hints for manuscript preparation can be found under the following web… (More)

This paper shows that the number of independent parameters required to describe an Albert algebra up to isomorphism is at most 7. In other words, the essential dimension of the split group of type F4 over a field of characteristic not 2 or 3 satisfies ed(F4) ≤ 7. This is achieved by reducing the structural group from the full 52-dimensional automorphism… (More)

This paper gives a new upper bound for the essential dimension and the essential 2-dimension of the split simply connected group of type E7 over a field of characteristic not 2 or 3. The essential dimension of an algebraic group G is a numerical invariant which measures the complexity of its G-torsors. The essential dimensions of the exceptional algebraic… (More)