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Groups with virtually abelian proper quotients
Author(s) -
Quick Martyn
Publication year - 2007
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/jdm014
Subject(s) - abelian group , quotient , torsion subgroup , mathematics , pure mathematics , nilpotent , rank of an abelian group , algebra over a field , elementary abelian group
The just non‐(virtually abelian) groups with non‐trivial Fitting subgroup are classified. Particular attention is given to those which are virtually nilpotent and examples are given of the interesting phenomena that can occur.