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Fractal ideals, constructed from free ideals by a process of self‐similar duplication, are investigated vis à vis the algebraic property of essentiality. The answer seems to show that this property is sensitive to the process that was used to construct the ideal.
The (symmetric) genus of a finite group may be defined as the smallest genus of those closed orientable surfaces on which G acts faithfully as a group of automorphisms. In this paper the genus of each of the five Mathieu groups M11, M12, M22, M23 and M24 is determined, with the help of some...
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