منابع مشابه
The Action of a Few Permutations on r - tuples isQuickly
We prove that for every r and d 2 there is a C such that for most choices of d permutations 1; 2; : : : ; d of Sn, the following holds: for any two r-tuples of distinct elements in f1; : : : ; ng, there is a product of less than C log n of the i's which map the rst r-tuple to the second. Although we came across this problem while studying a rather unrelated cryptographic problem, it belongs to ...
متن کاملHurwitz Equivalence in Tuples of Dihedral Groups, Dicyclic Groups, and Semidihedral Groups
Let D2N be the dihedral group of order 2N , Dic4M the dicyclic group of order 4M , SD2m the semidihedral group of order 2 m, and M2m the group of order 2 m with presentation M2m = 〈α, β | α 2m−1 = β2 = 1, βαβ−1 = α2 m−2+1〉. We classify the orbits in Dn 2N , Dic n 4M , SD n 2m , and M n 2m under the Hurwitz action.
متن کاملThe Hurwitz Action and Braid Group Orderings
In connection with the so-called Hurwitz action of homeomorphisms in ramified covers we define a groupoid, which we call a ramification groupoid of the 2sphere, constructed as a certain path groupoid of the universal ramified cover of the 2-sphere with finitely many marked-points. Our approach to ramified covers is based on cosheaf spaces, which are closely related to Fox’s complete spreads. A ...
متن کاملreflections on taught courses of the iranian ma program in english translation: a mixed-methods study
the issue of curriculum and syllabus evaluation and revision has been in center of attention right from when curriculum came into attention of educational institutions. thus everywhere in the world in educational institutions curricula and syllabi are evaluated and revised based on the goals, the needs, existing content, etc.. in iran any curriculum is designed in a committee of specialists and...
Hurwitz Equivalence in Tuples of Generalized Quaternion Groups and Dihedral Groups
Let Q2m be the generalized quaternion group of order 2 m and DN the dihedral group of order 2N . We classify the orbits in Q2m and D n pm (p prime) under the Hurwitz action. 1 The Hurwitz Action Let G be a group. For a, b ∈ G, let a = bab and a = bab. The Hurwitz action on G (n ≥ 2) is an action of the n-string braid group Bn on G . Recall that Bn is given by the presentation Bn = 〈σ1, . . . , ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2006
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2004.12.020