-- TITLE -- "Parametrization of central Frattini extensions and isomorphisms of small group rings" -- ABSTRACT -- "We solve the modular isomorphism problem for small group rings, i.e., we determine, for a given finite p-group H, precisely which central Frattini extensions of H give rise to isomorphic small group rings over the field with p elements." -- STATUS -- Submitted for publication -- AUTHORS -- Martin Hertweck and Marcos Soriano ___________________________________________________________________________ Dr. Martin Hertweck Office: 7.561 Universitaet Stuttgart Phone: +49 711 685 5320 Fachbereich Mathematik Institut fuer Geometrie und Topologie Fax: +49 711 685 5304 Lehrstuhl fuer Differentialgeometrie Pfaffenwaldring 57 70550 Stuttgart Germany homepage: http://www.igt.uni-stuttgart.de/LstDiffgeo/Hertweck/ ___________________________________________________________________________ Dr. Marcos Soriano Office: A 452 Universitaet Hannover Phone: +49 511 762 4243 Institut fuer Mathematik Lehrgebiet Algebra und Zahlentheorie Fax: +49 511 762 5490 Welfengarten 1 30167 Hannover Germany homepage: http://www-ifm.math.uni-hannover.de/~soriano/ ___________________________________________________________________________