JP Journal of Algebra, Number Theory and Applications
Volume 18, Issue 1, Pages 79 - 88
(August 2010)
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MINIMAL NON-NILPOTENT GROUPS WHICH ARE SUPERSOLVABLE
Francesco G. Russo
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Abstract: The structure of a group, which is not nilpotent but all of whose proper subgroups are nilpotent, has attracted the interest of several authors both in the finite case as well as in the infinite case. The present paper generalizes some classic descriptions of the infinite case. |
Keywords and phrases: minimal non-nilpotent groups, Schmidt groups, critical groups, groups with many nilpotent subgroups. |
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