Journal of the Australian Mathematical Society: Volume 10 -

Two-variable laws for PSL(2, 5): To Bernhard Hermann Neumann on his 60th birthday
R. M. Bryant, M. B. Powell
Published online by Cambridge University Press:

09 April 2009, pp. 499-502
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In [2], John Cossey and Sheila Oates Macdonald give a basis for the set of laws of PSL(2, 5) — the simple group of order 60 — and with one extreme exception the laws of their basis involve at most two variables. They raise the problem of finding a basis in which all of the laws involve only a small number of variables, and remark that they have shown that five variables will suffice. Here we give a basis consisting entirely of two variable laws.

On the semigroup of differentiable mappings: To Bernhard Hermann Neumann on his 60th birthday
Sadayuki Yamamuro
Published online by Cambridge University Press:

09 April 2009, pp. 503-510
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The purpose of this paper is to improve a result in [2] on the automorphisms of the semigroup D = D(E) of all (Fréchet)-differentiable mappings of a real Banach space E into itself.

Journal of the Australian Mathematical Society