In a division ring, every locally solvable almost subnormal subgroup is central, and every non-abelian locally solvable maximal subgroup forces the ring to have dimension p^2 over its center with cyclic prime-degree structure.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.RA 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Locally solvable maximal subgroups in division rings
In a division ring, every locally solvable almost subnormal subgroup is central, and every non-abelian locally solvable maximal subgroup forces the ring to have dimension p^2 over its center with cyclic prime-degree structure.