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Über Die Struktur Von p ‐Normalteilern Endlicher Gruppen
Author(s) -
Baumann Bernd
Publication year - 1983
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/s2-28.3.477
Subject(s) - mathematics , pure mathematics , group (periodic table) , representation (politics) , combinatorics , algebra over a field , physics , political science , quantum mechanics , politics , law
The structure of normal p ‐subgroups of finite groups is highly determined by the relations between different elementary chief factors and their commutators. These relations are discussed in the case where the commutators are centralized by the whole group. Some applications for the structure of the radical of the representation on elementary normal subgroups are obtained.