Splitting theorems for soluble groups and homological dimension

Peter Kropholler (U Glasgow)

Wednesday 3rd October, 2012 16:00-17:00 516


We shall take a new look at the old problem of computing homological dimension of a soluble group and establish some new supplement and complement theorems along the way. The homological dimension of a soluble group is predicted to equal the Hirsch length whenever it is finite. However this result has only been proved in characteristic zero when it is a theorem of Stammbach. Some interesting issues arise in positive characteristic.

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