An isoperimetric inequality involving conformal mapping
Resource type
Authors/contributors
- Berlinghoff, W.P. (Author)
- Reid, J.D. (Author)
Title
An isoperimetric inequality involving conformal mapping
Abstract
This paper characterizes quasi-pure projective (q.p.p.) and quasi-pure injective (q.p.i.) p-groups, and hence characterizes all such (abelian) torsion groups. A p-group is q.p.i. if and only if it is the direct sum of a divisible group and a torsion complete group. A nonreduced p-group is q.p.p. if and only if it is the direct sum of a divisible group and a bounded group; a reduced p-group is q.p.p. if and only if it is a direct sum of cyclic groups. © 1977 American Mathematical Society.
Publication
Proceedings of the American Mathematical Society
Date
1977
Volume
65
Issue
2
Pages
189-193
Journal Abbr
Proc. Am. Math. Soc.
Citation Key
berlinghoffIsoperimetricInequalityInvolving1977
ISSN
00029939 (ISSN)
Archive
Scopus
Language
English
Extra
1 citations (Crossref) [2023-10-31]
Citation
Berlinghoff, W. P., & Reid, J. D. (1977). An isoperimetric inequality involving conformal mapping. Proceedings of the American Mathematical Society, 65(2), 189–193. Scopus. https://doi.org/10.1090/S0002-9939-1977-0470104-3
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