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Abstract. If G is a group of permutations of a set , then the suborbits of G are the orbits of point-stabilisers G acting on .The cardinalities of these suborbits are the subdegrees of G. Every infin...
We introduce an external version of the internal r-fold semidirect product of groups (SDP) of [CC91]. Just as for the classical external SDP, certain algebraic data are required to guarantee associati...
We give an example of a monoid with finitely many left and right ideals, all of whose Sch¨utzenberger groups are presentable by finite complete rewriting systems, and so each have finite derivation ty...
Let k be a perfect field of characteristic different from two. We show that the filtration on the Grothendieck-Witt group GW(k) induced by the slice filtration for the sphere spectrum in the motivic s...

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