Congruences Associated with Families of Nilpotent Subgroups and a Theorem of Hirsch
MFO Scientific ProgramResearch in Pairs 2019
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Our main result associates a family of congruences with each suitable system of nilpotent subgroups of a finite group. Using this result, we complete and correct the proof of a theorem of Hirsch concerning the class number of a finite group of odd order.