Skip to main content

Covering properties of permutation groups

  • Conference paper
  • First Online:
Products of Conjugacy Classes in Groups

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1112))

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 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
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. Z. Arad, M. Herzog and J. Stavi, Powers and products of conjugacy classes in groups, Chapter 1 of this book.

    Google Scholar 

  2. Z. Arad, D. Chillag and G. Moran, Groups with a small covering number, Chapter 4 of this book.

    Google Scholar 

  3. E. Bertram, Even permutations as aproduct of two conjugate cycles, J. Combinatorial Theory (A) 12 (1972), 368–380.

    Article  MathSciNet  MATH  Google Scholar 

  4. J.L. Brenner, M. Randall and J. Riddell, Covering theorems for FINASIGS, I, Colloq. Math. 32 (1974), 39–48.

    MathSciNet  MATH  Google Scholar 

  5. J.L. Brenner, Covering theorems for FINASIGS, II, J. Comb. Theory 14 (1973), 264–269.

    Article  MATH  Google Scholar 

  6. J.L. Brenner and L. Carlitz, Covering theorems for FINASIGS, III, Rend. Seminario Mat. di Padova 55 (1974), 81–90.

    MathSciNet  Google Scholar 

  7. J.L. Brenner, Covering theorems for FINASIGS, IV, Janabha, Section A, 3 (1975), 77–84.

    Google Scholar 

  8. J.L. Brenner, R.M. Cranwell and J. Riddell, Covering theorems for FINASIGS, V, Pacific J. Math. 58 (1975), 55–60.

    Article  MathSciNet  MATH  Google Scholar 

  9. J.L. Brenner and J. Riddell, Covering theorems, VI, noncanonical factorizations of a permutation, Amer. Math. Monthly 84 (1977), 39–40.

    Article  MathSciNet  MATH  Google Scholar 

  10. J.L. Brenner and J. Riddell, Covering theorems for FINASIGS, VII, Ars Combinatoria 1 (1976), 77–108.

    MathSciNet  MATH  Google Scholar 

  11. J.L. Brenner, Covering theorems for FINASIGS, VIII, J. Austral. Math. Soc. 25 (Series A) (1978), 210–214.

    Article  MATH  Google Scholar 

  12. J.L. Brenner, Covering theorems for FINASIGS, IX, Ars Combinatoria 4 (1977), 151–176.

    MathSciNet  Google Scholar 

  13. W. Feit, R. Lyndon and L. Scott, A remark about permutations, J. Combinatorial Theory 18 (1975), 234–238.

    Article  MathSciNet  MATH  Google Scholar 

  14. M. Herzog and K.B. Reid, Number of factors in k-cycle decomposition of permutations, Proc. 4th Australian Conference, Combinatorial Math., Springer Lecture Notes in Math. 560 (1976), 123–131.

    Article  MathSciNet  MATH  Google Scholar 

  15. M. Herzog and K.B. Reid, Representation of permutations as products of cycles of fixed length, J. Austral. Math. Soc., Ser. A, 22 (1976), 321–331.

    Article  MathSciNet  MATH  Google Scholar 

  16. S. Karni, Covering numbers for groups of small order and for sporadic groups, Chapter 2 of this book.

    Google Scholar 

  17. R. Ree, A theorem on permutations, J. Combinatorial Theory 10 (1971), 174–175.

    Article  MathSciNet  MATH  Google Scholar 

  18. J. Stavi, The covering numbers of alternating groups (manuscript).

    Google Scholar 

  19. G. Boccara, Décompositions d’une permutation d’une ensemble fini en produit de deux cycles, Discrete Math. 23 (1978), 189–205.

    Article  MathSciNet  MATH  Google Scholar 

  20. G. Boccara, Nombre de representations d’une permutation comme produit de deux cycles de longeurs donnees, Discrete Math. 29 (1980), 105–134.

    Article  MathSciNet  MATH  Google Scholar 

  21. G. Boccara, Cycles comme produit de deux permutations de classes donnees, Discrete Math., 38 (1982), 129–142.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Zvi Arad Marcel Herzog

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag

About this paper

Cite this paper

Dvir, Y. (1985). Covering properties of permutation groups. In: Arad, Z., Herzog, M. (eds) Products of Conjugacy Classes in Groups. Lecture Notes in Mathematics, vol 1112. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072288

Download citation

  • DOI: https://doi.org/10.1007/BFb0072288

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13916-4

  • Online ISBN: 978-3-540-39142-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics