Advertisement

Covering properties of permutation groups

  • Yoav Dvir
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1112)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Z. Arad, M. Herzog and J. Stavi, Powers and products of conjugacy classes in groups, Chapter 1 of this book.Google Scholar
  2. 2.
    Z. Arad, D. Chillag and G. Moran, Groups with a small covering number, Chapter 4 of this book.Google Scholar
  3. 3.
    E. Bertram, Even permutations as aproduct of two conjugate cycles, J. Combinatorial Theory (A) 12 (1972), 368–380.MathSciNetCrossRefzbMATHGoogle Scholar
  4. 4.
    J.L. Brenner, M. Randall and J. Riddell, Covering theorems for FINASIGS, I, Colloq. Math. 32 (1974), 39–48.MathSciNetzbMATHGoogle Scholar
  5. 5.
    J.L. Brenner, Covering theorems for FINASIGS, II, J. Comb. Theory 14 (1973), 264–269.CrossRefzbMATHGoogle Scholar
  6. 6.
    J.L. Brenner and L. Carlitz, Covering theorems for FINASIGS, III, Rend. Seminario Mat. di Padova 55 (1974), 81–90.MathSciNetGoogle Scholar
  7. 7.
    J.L. Brenner, Covering theorems for FINASIGS, IV, Janabha, Section A, 3 (1975), 77–84.Google Scholar
  8. 8.
    J.L. Brenner, R.M. Cranwell and J. Riddell, Covering theorems for FINASIGS, V, Pacific J. Math. 58 (1975), 55–60.MathSciNetCrossRefzbMATHGoogle Scholar
  9. 9.
    J.L. Brenner and J. Riddell, Covering theorems, VI, noncanonical factorizations of a permutation, Amer. Math. Monthly 84 (1977), 39–40.MathSciNetCrossRefzbMATHGoogle Scholar
  10. 10.
    J.L. Brenner and J. Riddell, Covering theorems for FINASIGS, VII, Ars Combinatoria 1 (1976), 77–108.MathSciNetzbMATHGoogle Scholar
  11. 11.
    J.L. Brenner, Covering theorems for FINASIGS, VIII, J. Austral. Math. Soc. 25 (Series A) (1978), 210–214.CrossRefzbMATHGoogle Scholar
  12. 12.
    J.L. Brenner, Covering theorems for FINASIGS, IX, Ars Combinatoria 4 (1977), 151–176.MathSciNetGoogle Scholar
  13. 13.
    W. Feit, R. Lyndon and L. Scott, A remark about permutations, J. Combinatorial Theory 18 (1975), 234–238.MathSciNetCrossRefzbMATHGoogle Scholar
  14. 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.MathSciNetCrossRefzbMATHGoogle Scholar
  15. 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.MathSciNetCrossRefzbMATHGoogle Scholar
  16. 16.
    S. Karni, Covering numbers for groups of small order and for sporadic groups, Chapter 2 of this book.Google Scholar
  17. 17.
    R. Ree, A theorem on permutations, J. Combinatorial Theory 10 (1971), 174–175.MathSciNetCrossRefzbMATHGoogle Scholar
  18. 18.
    J. Stavi, The covering numbers of alternating groups (manuscript).Google Scholar
  19. 19.
    G. Boccara, Décompositions d’une permutation d’une ensemble fini en produit de deux cycles, Discrete Math. 23 (1978), 189–205.MathSciNetCrossRefzbMATHGoogle Scholar
  20. 20.
    G. Boccara, Nombre de representations d’une permutation comme produit de deux cycles de longeurs donnees, Discrete Math. 29 (1980), 105–134.MathSciNetCrossRefzbMATHGoogle Scholar
  21. 21.
    G. Boccara, Cycles comme produit de deux permutations de classes donnees, Discrete Math., 38 (1982), 129–142.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1985

Authors and Affiliations

  • Yoav Dvir
    • 1
  1. 1.Department of MathematicsBar-Ilan UniversityRamat-GanIsrael

Personalised recommendations