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Transitive And Fully Transitive Groups, Steve Files, Brendan Goldsmith
Transitive And Fully Transitive Groups, Steve Files, Brendan Goldsmith
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The notions of transitivity and full transitivity for abelian p-groups were introduced by Kaplansky in the 1950s. Important classes of transitive and fully transitive p-groups were discovered by Hill, among others. Since a 1976 paper by Corner, it has been known that the two properties are independent of one another. We examine how the formation of direct sums of p-groups affects transitivity and full transitivity. In so doing, we uncover a far-reaching class of p-groups for which transitivity and full transitivity are equivalent. This result sheds light on the relationship between the two properties for all p-groups.
On Unit Sum Number Of Rings And Modules, Brendan Goldsmith, S. Pabst, A. Scott
On Unit Sum Number Of Rings And Modules, Brendan Goldsmith, S. Pabst, A. Scott
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No abstract available