Resolutions by permutation modules
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DOI: 10.1007/s00013-020-01493-w
Abstract: We prove that, up to adding a complement, every modular representation of a finite group admits a finite resolution by permutation modules. read more here.
Keywords: permutation modules; permutation; resolutions permutation;
The Benson - Symonds invariant for ordinary and signed permutation modules
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DOI: 10.1016/j.jalgebra.2021.06.022
Abstract: Abstract The signed permutation modules are a simultaneous generalization of the ordinary permutation modules and the twisted permutation modules of the symmetric group. In a recent paper Dave Benson and Peter Symonds defined a new… read more here.
Keywords: signed permutation; permutation modules; invariant ordinary; permutation ... See more keywords
On signed Young permutation modules and signed p-Kostka numbers
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DOI: 10.1515/jgth-2017-0007
Abstract: Abstract We prove the existence and main properties of signed Young modules for the symmetric group, using only basic facts about symmetric group representations and the Broué correspondence. We then prove new reduction theorems for… read more here.
Keywords: young permutation; permutation modules; kostka numbers; signed young ... See more keywords