For finite groups of square-free order, the Ext and Tor groups between mark modules of the Burnside ring are explicitly described and are 2-periodic; for non-square-free order they have unbounded rank.
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Cohomology of Burnside Rings
For finite groups of square-free order, the Ext and Tor groups between mark modules of the Burnside ring are explicitly described and are 2-periodic; for non-square-free order they have unbounded rank.