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A group G is an N-barely transitive group (NBT-group) if G acts on an infinite set transitively and faithfully and all proper normal subgroups of G have finite orbits. We… Click to show full abstract
A group G is an N-barely transitive group (NBT-group) if G acts on an infinite set transitively and faithfully and all proper normal subgroups of G have finite orbits. We investigate the main properties and structure of NBT-groups. We give some examples in non-perfect and perfect case. Also we show that there does not exist a locally soluble perfect cofinitary NBT-group.
Keywords:
transitive permutation;
permutation groups;
barely transitive;
group
Journal Title: Ricerche di Matematica
Year Published: 2021
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Journal Title: Ricerche di Matematica
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!