Skip to main content

Part of the book series: Lecture Notes in Chemistry ((LNC,volume 12))

Abstract

This conference is devoted to applications of permutation groups in chemistry and physics. Hearing of applications of group theory in sciences, our first reaction is to think of symmetry considerations, where the situation is as follows: a given system is symmetric with respect to a certain symmetry group, a subgroup, say, of the three-dimensional orthogonal group, and this invariance of the given system under symmetry operations can be used in order to attack the corresponding mathematical problem.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N. L. Biggs/E. K. Lloyd/ R. J. Wilson: Graph Theory, 1736-1936. Oxford University Press, 1976.

    Google Scholar 

  2. Crum Brown: On the theory of isomeric compounds. Trans. Roy. Soc. Edinburgh 23 (1864), 707–719.

    Google Scholar 

  3. J. J. Sylvester: Chemistry and algebra. Nature 17 (1877/78), 284.

    Article  Google Scholar 

  4. A. Cayley: On the mathematical theory of isomers. Philosophical Magazine (4) 47 (1874), 444–446.

    Google Scholar 

  5. A. C. Lunn/ J. K. Senior: Isomerism and configuration. J. Phys. Chem. 33 (1929), 1027–1079.

    Article  Google Scholar 

  6. G. Pólya: Kombinatorische Anzahlbestimmungen für Gruppen, Graphen und chemische Berbindungen. Acta Math. 68 (1937), 145–254.

    Article  Google Scholar 

  7. F. Harary/E. Palmer: Graphical enumeration. Academic Press, 1973.

    Google Scholar 

  8. A. Kerber: On Graphs and the Enumeration, Part I. MATCH 1 (1975), 5–10.

    Article  CAS  Google Scholar 

  9. A. Kerber: On Graphs and their Enumeration, Part II. MATCH 2 (1976), 17–34.

    Google Scholar 

  10. A. Kerber/ W. Lehmann: On Graphs and their Enumeration, Part III. MATCH 3 (1977), 67–86.

    Google Scholar 

  11. A. Kerber: Representations of permutation groups I/II. Lecture Notes in Math., Vol 240 and Vol. 495, Springer Verlag 1971 and 1975.

    Google Scholar 

  12. W. Lehmann: Die Abzähltheorie von Redfield-Pólya-de Bruijn und die Darstellungstheorie endlicher Gruppen. Diplomarbeit, Geißen 1973.

    Google Scholar 

  13. W. Lehmann: Ein vereinheitlichender Ansatz für die Redfield-Pólya-de-Bruijnsche Abzähl théorie, Dissertation, Aachen, 1976.

    Google Scholar 

  14. J. H. Redfield: The theory of group reduced distributions, Amer. J. Math. 49 (1927), 433–455.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Kerber, A. (1979). Counting isomers and Such. In: Hinze, J. (eds) The Permutation Group in Physics and Chemistry. Lecture Notes in Chemistry, vol 12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93124-6_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-93124-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09707-5

  • Online ISBN: 978-3-642-93124-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics