Minimal non-nilpotent groups which are supersolvable

Details Minimal non-nilpotent groups which are supersolvable Minimal non-nilpotent groups which are supersolvable

2009-12-03

arxiv.org/abs/0912.0667v2

JP. J. Algebra Number Theory Appl. 18 (2010), 79--88

Mathematics

Group Theory

7 pages, to appear in JP J. Algebra Number Theory Appl. with some revisions

Scientific paper

The structure of a group which is not nilpotent but all of whose proper
subgroups are nilpotent has interested the researches of several authors both
in the finite case and in the infinite case. The present paper generalizes some
classic descriptions of M. Newman, H. Smith and J. Wiegold in the context of
supersolvable groups.

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