Infinite groups with many complemented subgroups

This paper has two souls. On one side, it is a survey on (infinite) groups in which certain systems of subgroups are complemented (like for instance the abelian subgroups). On another side, it provides generalizations and new, easier proofs of some (un)known results in this area.

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Bibliographic Details
Published in:Beiträge zur Algebra und Geometrie 2022-12, Vol.63 (4), p.775-808
Main Authors: Ferrara, M., Trombetti, M.
Format: Article
Language:English
Subjects:
Algebra
Algebraic Geometry
Convex and Discrete Geometry
Geometry
Mathematics
Mathematics and Statistics
Original Paper
Subgroups
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Description
Summary:This paper has two souls. On one side, it is a survey on (infinite) groups in which certain systems of subgroups are complemented (like for instance the abelian subgroups). On another side, it provides generalizations and new, easier proofs of some (un)known results in this area.
ISSN:0138-4821
2191-0383
DOI:10.1007/s13366-021-00597-w