• Title/Summary/Keyword: almost n-simply presented groups

Search Result 1, Processing Time 0.015 seconds

ON ALMOST n-SIMPLY PRESENTED ABELIAN p-GROUPS

  • Danchev, Peter V.
    • Korean Journal of Mathematics
    • /
    • v.21 no.4
    • /
    • pp.401-419
    • /
    • 2013
  • Let $n{\geq}0$ be an arbitrary integer. We define the class of almost n-simply presented abelian p-groups. It naturally strengthens all the notions of almost simply presented groups introduced by Hill and Ullery in Czechoslovak Math. J. (1996), n-simply presented p-groups defined by the present author and Keef in Houston J. Math. (2012), and almost ${\omega}_1-p^{{\omega}+n}$-projective groups developed by the same author in an upcoming publication [3]. Some comprehensive characterizations of the new concept are established such as Nunke-esque results as well as results on direct summands and ${\omega}_1$-bijections.