Congruences associated with families of nilpotent subgroups and a theorem of Hirsch
Copyright policy ) Aivazidis, Stefanos; Müller, Thomas;
Congruences associated with families of nilpotent subgroups and a theorem of Hirsch
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.
- University of Vienna Austria
- University of Crete Greece
QA1-939, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, congruences, Nilpotent systems of subgroups, nilpotent systems of subgroups, Mathematics, Arithmetic and combinatorial problems involving abstract finite groups
QA1-939, Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure, congruences, Nilpotent systems of subgroups, nilpotent systems of subgroups, Mathematics, Arithmetic and combinatorial problems involving abstract finite groups
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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