The development and understanding of the concept of quotient group

DOI10.1006/hmat.1993.1007zbMath0767.01022OpenAlexW2039416400MaRDI QIDQ1209766

Julia Nicholson

Publication date: 16 May 1993

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/hmat.1993.1007

zbMATH Keywords

transformation groupsGaloisHölderCantornormal subgroupDedekindsubstitution groups

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of group theory (20-03)

Related Items (8)

The mathematical life of Cauchy's group theorem ⋮ A comic page for the first isomorphism theorem ⋮ Otto Hölder and group theory ⋮ Felix Klein's teaching of Galois theory ⋮ Unnamed Item ⋮ On abstraction and the importance of asking the right research questions: could Jordan have proved the Jordan-Hölder theorem? ⋮ The concept of primitivity in group theory and the second memoir of Galois ⋮ Equivalence: an attempt at a history of the idea

Cites Work

• The discovery of the Sylow theorems
• The early proofs of Sylow's theorem
• The development of Galois theory from Lagrange to Artin
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