Some exact values of the Harborth constant and its plus-minus weighted analogue

Repeat the exer- cise in homology, for cor G×K H×K and tr G×K H×K (in homology, the hypothesis that G be finite can be supressed, but of course we need [G : H ] < ∞ for the

Write a detailled proof of the Cartan-Eilenberg double coset for- mula, using the hints given in the lecture..

[The Fourier transform] Let G be a finite group and G b the set of (isomorphism classes of) its irreducible representations... Complete the character table - one has to

Our interest for the existence of quasi-isometrically embedded free subsemigroups comes from the following result of Bourgain [Boug]: a regular tree of degree at least three has

Another example is Vinh’s work [32] who used a Szemerédi-Trotter type bound to obtain a different proof of Garaev’s sum-product estimate in finite fields (see Theorem 4 below)..

Les nombres super ` 0 -champions sont définis en remplaçant dans la défi- nition des nombres super `-champions la fonction ` par ` 0 , notamment dans (1.7).. Au paragraphe 2,

Give a necessary and sufficient condition on n for the ring Z/nZ to be

Any non-trivial subrepresentation would contain an eigenvector for h, and since none of the relevant coefficients of e and f vanish, we see that even one h-eigenvector is enough