On abstraction and the importance of asking the right research questions: could Jordan have proved the Jordan-Hölder theorem?

DOI10.1007/s10670-008-9108-zzbMath1221.00031OpenAlexW2089872994MaRDI QIDQ948980

Dirk Schlimm

Publication date: 16 October 2008

Published in: Erkenntnis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10670-008-9108-z

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) History of mathematics in the 19th century (01A55) History of group theory (20-03)

Related Items (2)

Felix Klein's projective representations of the groups \(S_6\) and \(A_7\) ⋮ On the creative role of axiomatics. The discovery of lattices by Schröder, Dedekind, Birkhoff, and others

Cites Work

• The early proofs of Sylow's theorem
• The development and understanding of the concept of quotient group
• Modern algebra and the rise of mathematical structures
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