When Quasinormal Implies Normal

When Quasinormal Implies Normal

Developed is a condition, expressed in terms of an index, that ensures that a quasinormal subgroup is normal. The arguments suggest a variety of exercises for a course in group theory or Galois theory. Included are the definitions, lemmas, and proofs. (KR)

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Bibliographische Detailangaben
Veröffentlicht in:The American mathematical monthly 1990-06, Vol.97 (6), p.514-518
Hauptverfasser: Hickerson, Dean, Stein, Sherman, Yamaoka, Kenya
Format: Artikel
Sprache:eng
Schlagworte:
College Mathematics
Geometry
Group theory
Higher Education
Instructional Materials
Integers
Learning Activities
Mathematical Concepts
Mathematics Education
Mathematics Skills
Problem Solving
Proof (Mathematics)
The Teaching of Mathematics
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Beschreibung
Zusammenfassung:Developed is a condition, expressed in terms of an index, that ensures that a quasinormal subgroup is normal. The arguments suggest a variety of exercises for a course in group theory or Galois theory. Included are the definitions, lemmas, and proofs. (KR)
ISSN:0002-9890
1930-0972
DOI:10.1080/00029890.1990.11995639