Congruences Associated with Families of Nilpotent Subgroups and a Theorem of Hirsch
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OWP2019_16.pdf (415.2Kb)Date
2019-05-27MFO Scientific Program
Research in Pairs 2019Series
Oberwolfach Preprints;2019,16Metadata
Show full item recordOWP-2019-16
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.
Mathematics Subject Classification (MSC)
20Permalink
urn:nbn:de:101:1-2019072314492872531307Collections
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