Some computational results on modules connected with Burnside groups of exponent 4
Degree GrantorUniversity of Canterbury
Degree NameResearch report
Some computational results on the structure of certain modules connected with Burnside groups of exponent 4 are given. Most results are for the four generator case, as the largest case for which the computations were practical; some results are also given for the three and five generator cases. The chief structural properties examined are composition factors and indecomposable summands, but where a module was sufficiently interesting and small enough for this to be practical a submodule lattice was constructed. In addition, computer code that may be used to reproduce some of the results is given. This work was done as part of a Vacation Scholarship at the School of Mathematical Sciences, the Australian National University, under the supervision of Dr M.F.Newman.
SubjectsField of Research::01 - Mathematical Sciences
- Engineering: Reports