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Leo Creedon - Constructing free groups in modular group algebras



LEO CREEDON, Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta  T6G 2G1, Canada
Constructing free groups in modular group algebras


We investigate the existence (and construction) of free pairs of units in the unit group of a (modular) group algebra KG. We generalise a result of Goncalves/Passman to do this, and use the programming package GAP to investigate the units of $\bbd F_2(t)A_5$, where t is an element transcendental over $\bbd F_2$.



 

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