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References
Z. Arad, M. Herzog and J. Stavi, Powers and products of conjugacy classes in groups, Chapter 1 of this book.
Z. Arad, D. Chillag and G. Moran, Groups with a small covering number, Chapter 4 of this book.
E. Bertram, Even permutations as aproduct of two conjugate cycles, J. Combinatorial Theory (A) 12 (1972), 368–380.
J.L. Brenner, M. Randall and J. Riddell, Covering theorems for FINASIGS, I, Colloq. Math. 32 (1974), 39–48.
J.L. Brenner, Covering theorems for FINASIGS, II, J. Comb. Theory 14 (1973), 264–269.
J.L. Brenner and L. Carlitz, Covering theorems for FINASIGS, III, Rend. Seminario Mat. di Padova 55 (1974), 81–90.
J.L. Brenner, Covering theorems for FINASIGS, IV, Janabha, Section A, 3 (1975), 77–84.
J.L. Brenner, R.M. Cranwell and J. Riddell, Covering theorems for FINASIGS, V, Pacific J. Math. 58 (1975), 55–60.
J.L. Brenner and J. Riddell, Covering theorems, VI, noncanonical factorizations of a permutation, Amer. Math. Monthly 84 (1977), 39–40.
J.L. Brenner and J. Riddell, Covering theorems for FINASIGS, VII, Ars Combinatoria 1 (1976), 77–108.
J.L. Brenner, Covering theorems for FINASIGS, VIII, J. Austral. Math. Soc. 25 (Series A) (1978), 210–214.
J.L. Brenner, Covering theorems for FINASIGS, IX, Ars Combinatoria 4 (1977), 151–176.
W. Feit, R. Lyndon and L. Scott, A remark about permutations, J. Combinatorial Theory 18 (1975), 234–238.
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.
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.
S. Karni, Covering numbers for groups of small order and for sporadic groups, Chapter 2 of this book.
R. Ree, A theorem on permutations, J. Combinatorial Theory 10 (1971), 174–175.
J. Stavi, The covering numbers of alternating groups (manuscript).
G. Boccara, Décompositions d’une permutation d’une ensemble fini en produit de deux cycles, Discrete Math. 23 (1978), 189–205.
G. Boccara, Nombre de representations d’une permutation comme produit de deux cycles de longeurs donnees, Discrete Math. 29 (1980), 105–134.
G. Boccara, Cycles comme produit de deux permutations de classes donnees, Discrete Math., 38 (1982), 129–142.
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© 1985 Springer-Verlag
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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
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DOI: https://doi.org/10.1007/BFb0072288
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