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Quotient-Transitivity And Cyclic Subgroup-Transitivity, Brendan Goldsmith, Ketao Gong
Quotient-Transitivity And Cyclic Subgroup-Transitivity, Brendan Goldsmith, Ketao Gong
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We introduce two new notions of transitivity for Abelian π-groups based on isomorphism of quotients rather than the classical use of equality of height sequences associated with Abelian π-group theory. Unlike the classical theory where βmostβ groups are transitive, these new notions lead to much smaller classes, but even these classes are sufficiently large to be interesting.