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Generation of finite groups by nilpotent subgroups

E. Damian — 2003

Bollettino dell'Unione Matematica Italiana

We study the generation of finite groups by nilpotent subgroups and in particular we investigate the structure of groups which cannot be generated by $n$ nilpotent subgroups and such that every proper quotient can be generated by $n$ nilpotent subgroups. We obtain some results about the structure of these groups and a lower bound for their orders.

The (Greatest) Fragment of Classical Logic that Respects the Variable-Sharing Principle (in the FMLA-FMLA Framework)

Damian E. Szmuc — 2021

Bulletin of the Section of Logic

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