Proceedings of the Royal Society of Edinburgh Section A: Mathematics: Volume 85 -

On the existence of bifurcating solutions in the presence of symmetries
E. N. Dancer
Published online by Cambridge University Press:

14 November 2011, pp. 321-336
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We study bifurcation problems in the presence of continuous groups of symmetries and obtain theorems on the existence and uniqueness of solutions. We also briefly consider some applications.

Finite direct products of finite cyclic semigroups and their characterization
D. C. Trueman
Published online by Cambridge University Press:

14 November 2011, pp. 337-351
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We prove that a finite semigroup which is decomposable into a direct product of cyclic semigroups which are not groups is uniquely so decomposable, and show how the non-group cyclic direct factors of a finite semigroup, if they exist, can be found.

Proceedings of the Royal Society of Edinburgh Section A: Mathematics