Improving pricing scope through consumers’ construal level – evidence based on consumers’ willingness-to-pay ranges

How can the pricing scope be further leveraged in times of increased price transparency and growing price awareness on the consumer side? To answer this question, this paper uses the concept of willingness-to-pay ranges (as opposed to points). Three quantitative studies show that various marketing activities that allow consumers to assess a product on a more abstract (less concrete) level shift the upper limits of the intervals upwards and thus increase the scope for price setting. These (price) upper limits are particularly high when the central product advantages are emphasized.

Commuting elements in central products of special unitary groups

We study the space of commuting elements in the central product Gm,p of m copies of the special unitary group SU(p), where p is a prime number. In particular, a computation for the number of path-connected components of these spaces is given and the geometry of the moduli space Rep(ℤn, Gm,p) of isomorphism classes of flat connections on principal Gm,p-bundles over the n-torus is completely described for all values of n, m and p.

Another Uniqueness Proof of the Dickson Simple Group G2(3)

In this article, we give a self-contained uniqueness proof for the Dickson simple group G=G2(3) using the first author's uniqueness criterion. The uniqueness proof for G2(3) was first given by Janko. His proof depends on Thompson's deep and technical characterization of G2(3). Let H′ be the amalgamated central product of SL 2(3) with itself. Then there is a unique extension H of H′ by a cyclic group of order 2 such that H has a center of order 2 and both factors SL 2(3) are normal in H. We prove that any simple group G having a 2-central involution z with centralizer CG(z)≅ H is isomorphic to G2(3).

EMBEDDING GROUPS OF CLASS TWO AND PRIME EXPONENT IN CAPABLE AND NONCAPABLE GROUPS

We show that ifGis anyp-group of class at most two and exponentp, then there exist groupsG1andG2of class two and exponentpthat containG, neither of which can be expressed as a central product, and withG1capable andG2not capable. We provide upper bounds for rank(Giab) in terms of rank(Gab) in each case.

GROUPS WITH SMALL CONJUGACY CLASSES

A group satisfies property (*) iff every conjugacy class has size not greater than 2. This paper proves properties of this type of group and conclude that it is a central product of an abelian group with 2-groups that are "almost" extra special.