A teaching skill essential for all medical educators is small group competence. Lack of it can never have been more damaging: medical teachers have now to promote active learning, for which small group methods are optimal. The only kind of medical student now needed is an activated one, equipped for independent lifelong learning and teamwork; current educational innovation, such as problem base...

In this note, we make two nonstandard group-theoretic observations. First, we give a short nonstandard proof of a well-known result in group theory concerning locally nilpotent groups. Second, we outline a nonstandard way of viewing the projective limit of an projective family of groups. (We are unsure if this second observation, in some form, has already been discovered, although we would not ...

Melissa Keranen∗, Donald Kreher, Artem Zhuravlev, Michigan Technological University A group divisible Steiner quadruple system, is a triple (X,H,B) where X is a v-element set of points, H = {H1, H2, . . . , Hr} is a partition of X into holes and B is a collection of 4-element subsets of X called blocks such that every 3-element subset is either in a block or a hole but not both. We investigate ...

Assuming the Generalized Riemann Hypothesis, Bach has shown that the ideal class group C K of a number field K can be generated by the prime ideals of K having norm smaller than 12 ( log |Discriminant(K)| )2 . This result is essential for the computation of the class group and units of K by Buchmann’s algorithm, currently the fastest known. However, once C K has been computed, one notices that ...