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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Extensions of totally projective groups


Authors: Ronald Linton and Charles Megibben
Journal: Proc. Amer. Math. Soc. 64 (1977), 35-38
MSC: Primary 20K10
MathSciNet review: 0450425
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Abstract: It is an unpublished observation of L. Fuchs and E. A. Walker that if L is a fully invariant subgroup of the totally projective p-group G, then both L and G/L are totally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.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0450425-0
PII: S 0002-9939(1977)0450425-0
Keywords: Totally projective group, fully invariant subgroup, $ {{\text{C}}_\lambda }$-groups
Article copyright: © Copyright 1977 American Mathematical Society