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- Julia Kempe, Aner Shalev
- SODA
- 2005

We employ concepts and tools from the theory of finite permutation groups in order to analyse the Hidden Subgroup Problem via Quantum Fourier Sampling (QFS) for the symmetric group. We show thatâ€¦ (More)

Let G be a finite simple group and let S be a normal subset of G. We determine the diameter of the Cayley graph Î“(G,S) associated with G and S, up to a multiplicative constant. Many applicationsâ€¦ (More)

- H Ben-Aryeh, Aner Shalev, Raymonde Szargel, Arie Laor, Dov Laufer, Dan Gutman
- Biochemical medicine and metabolic biology
- 1986

Resting and stimulated whole and parotid salivary composition and flow rate were examined in 63 healthy volunteers. No significant differences were found between the young and old in secretion ratesâ€¦ (More)

Let Î“ be a Fuchsian group of genus at least 2 (at least 3 if Î“ is non-oriented). We study the spaces of homomorphisms from Î“ to finite simple groups G, and derive a number of applications concerningâ€¦ (More)

We consider the asymptotic complexity of manipulating matrix groups over finite fields. The question is, given a matrix group G by a list of generators, what can we say in polynomial time about theâ€¦ (More)

In recent years probabilistic methods have proved useful in the solution of several problems concerning finite groups, mainly involving simple groups and permutation groups. In some cases theâ€¦ (More)

Waringâ€™s problem asks whether every natural number is a sum of g(k) kth powers (where g is a suitable function). This was solved affirmatively by Hilbert in 1909. Optimizing g(k) has been a centralâ€¦ (More)

- Dalia Cohen, Aner Shalev, Margalit Krup
- Journal of the National Cancer Institute
- 1984

beta 2-Microglobulin (beta 2m) expression on the cell surface of the naturally occurring, allotransplantable canine transmissible venereal tumor (TVT) was investigated by use of indirect membraneâ€¦ (More)

The classical Waring problem deals with expressing every natural number as a sum of g(k) k-th powers. Recently there has been considerable interest in similar questions for non-abelian groups, andâ€¦ (More)

In this paper we prove some mainly asymptotic results concerning the irreducible character degrees of .nite groups of Lie type. Applications are given to the study of the mixing time of random walksâ€¦ (More)