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Finitely Presented Centre‐By‐Metabelian Groups
Author(s) -
Groves J. R. J.
Publication year - 1978
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-18.1.65
Subject(s) - metabelian group , abelian group , finitely generated abelian group , mathematics , group (periodic table) , pure mathematics , combinatorics , rank of an abelian group , elementary abelian group , physics , quantum mechanics
An investigation of the groups described in the title is carried out. It is shown that all such groups are extensions of an abelian group by a polycyclic group and so have the maximal condition for normal subgroups and are residually finite.