Extensions of totally projective groups

Linton, Ronald; Megibben, Charles

doi:10.1090/S0002-9939-1977-0450425-0

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

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Extensions of totally projective groups
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by Ronald Linton and Charles Megibben PDF

Proc. Amer. Math. Soc. 64 (1977), 35-38 Request permission

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It is an unpublished observation of L. Fuchs and E. A. Walker that if L is a fully invariant subgroup of the totally projective p-group G, then both L and G/L are totally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

László 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), 1192–1205. MR 249509, DOI 10.4153/CJM-1969-132-9
Kyle D. Wallace, $C_{\lambda }$-groups and $\lambda$-basic subgroups, Pacific J. Math. 43 (1972), 799–809. MR 315020