Nice subgroup

In algebra, a nice subgroup H of an abelian p-group G is a subgroup such that p^α(G/H) = 〈p^αG,H〉/H for all ordinals α. Nice subgroups were introduced by Hill (1967). Knice subgroups are a modification of this introduced by (Hill Megibben).

References

• Griffith, Phillip A. (1970), Infinite abelian group theory, The University of Chicago Press, Chicago, Ill.-London, ISBN 978-0-226-30870-8 
• Hill, Paul (1967), On the classification of abelian groups, Xeroxed manuscript 
• Hill, Paul; Megibben, Charles (1986), "Axiom 3 modules", Transactions of the American Mathematical Society 295 (2): 715–734, doi:10.2307/2000060, ISSN 0002-9947