Extensions of totally projective groups
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- by Ronald Linton and Charles Megibben
- Proc. Amer. Math. Soc. 64 (1977), 35-38
- DOI: https://doi.org/10.1090/S0002-9939-1977-0450425-0
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Abstract:
It is an unpublished observation of L. Fuchs and E. A. Walker that if L is a fully invariant subgroup of the totally projective p-group G, then both L and G/L are totally projective. In this note we treat the more difficult converse question.References
- Lรกszlรณ Fuchs, Infinite abelian groups. Vol. II, Pure and Applied Mathematics. Vol. 36-II, Academic Press, New York-London, 1973. MR 0349869
- Charles Megibben, The generalized Kulikov criterion, Canadian J. Math. 21 (1969), 1192โ1205. MR 249509, DOI 10.4153/CJM-1969-132-9
- Kyle D. Wallace, $C_{\lambda }$-groups and $\lambda$-basic subgroups, Pacific J. Math. 43 (1972), 799โ809. MR 315020
Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 64 (1977), 35-38
- MSC: Primary 20K10
- DOI: https://doi.org/10.1090/S0002-9939-1977-0450425-0
- MathSciNet review: 0450425