Sabbatical Report
Robert Fitzgerald Morse
January 2005 through August 2005.
Papers submitted for publications
“On commutators in groups” (with L.-C. Kappe). Submitted to the Groups St. Andrews Proceedings, London Mathematical Society. [pdf preprint]
“Computing the nonabelian tensor square of polycyclic groups” (with R. D. Blyth and J. L. Redden). Submitted to the Journal of Algebra. [pdf preprint]
Papers Presented
“Characterizing the n-Engel property as a Levi-property”. Algebra Seminar, Saint Louis University, March 3, 2005 [pdf slides].
“Characterizing the n-Engel property as a Levi-Property”. Zassenhaus Group Theory Conference 05, Auburn University Montgomery. March 18-20, 2005 [pdf slides].
“Advances in computing the nonabelian tensor square of polycyclic groups”, Groups in Galway, National University of Ireland Galway, May 12-14, 2005 [pdf slides].
“On commutators in groups”, Groups St. Andrews, University of St. Andrews, St. Andrews, Scotland, July 30-Aug 6, 2005 [pdf slides].
Work in Progress
“On determining the capability of nilpotent groups” (with R. D. Blyth).
“The third homotopy group of the suspension of an Eilenberg-MacLane space for Coxeter and spherical Artin groups” (with G. Ellis). [pdf draft]
The Homological Algebra Project (HAP) (with G. Ellis and E. Skolberg). This is software system and repository for computational homological algebra.
Other activities
Visiting researcher May – July 2005 at the National University of Ireland Galway, Galway. Ireland.
CoOrganizer of the Special Session on “Group Theory” (with R. Rosenberger and L.-C. Kappe) at the The 2nd Joint meeting of the American Mathematical Society (AMS), Deutsche Mathematiker-Vereinigung (DMV) and Österreichische Mathematische Gesellschaft (ÖMG), Johannes Gutenberg-Universität Mainz, Mainz, Germany, June 16-19, 2005.
Funding
New Millennium Research Grant, National University of Ireland Galway (€3000).
Lilly Curriculum Development Grant, University of Evansville ($3000).
ARSF, University of Evansville ($800).
Travel Support, College of Engineering, University of Evansville ($1800).