Congruences Associated with Families of Nilpotent Subgroups and a Theorem of Hirsch

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Date
2019
Volume
16
Issue
Journal
Series Titel
Oberwolfach Preprints (OWP)
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Publisher
Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach
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Abstract

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.

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