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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...
On a Generalization of the Notion of Semidirect Product of Groups
Generalization Notion of Semidirect Product of Groups
2011/1/19
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...
On properties not inherited by monoids from their Schutzenberger groups
Complete rewriting systems Finitely presented groups and monoids Finiteness conditions
2011/1/20
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...
The slice filtration and Grothendieck-Witt groups
Algebraic cycles Morel-Voevodsky stable homotopy category
2011/2/28
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...