메뉴 건너뛰기




Volumn 12, Issue 3, 2000, Pages 241-250

Each Invertible Sharply d-Transitive Finite Permutation Set with d ≥ 4 is a Group

Author keywords

(B) geometry arising from a permutation set; Block symmetry; Mathieu groups of degrees 11 and 12; Sharply d transitive permutation set

Indexed keywords


EID: 0348002139     PISSN: 09259899     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011211907282     Document Type: Article
Times cited : (4)

References (19)
  • 1
    • 0040659455 scopus 로고
    • k-transtive permutation groups and k-planes
    • A. Barlotti and K. Strambach, "k-transtive permutation groups and k-planes," Math. Z. 185 (1984), 465-485.
    • (1984) Math. Z. , vol.185 , pp. 465-485
    • Barlotti, A.1    Strambach, K.2
  • 4
    • 0347860852 scopus 로고
    • On the uniqueness of the Minkowski 2-structure of order 9 possessing a reflection
    • Modena, November
    • A. Bonisoli and T. Grundhöfer, "On the uniqueness of the Minkowski 2-structure of order 9 possessing a reflection," Research Report, Modena, November 1987.
    • (1987) Research Report
    • Bonisoli, A.1    Grundhöfer, T.2
  • 5
    • 0347230525 scopus 로고    scopus 로고
    • 13
    • R.A. Bailey (Ed.), Cambridge Univ. Press, Cambridge
    • 13," in Surveys in Combinatorics, 1997, R.A. Bailey (Ed.), Cambridge Univ. Press, Cambridge, 1997, pp. 1-11.
    • (1997) Surveys in Combinatorics, 1997 , pp. 1-11
    • Conway, J.H.1
  • 8
    • 0347230522 scopus 로고
    • Scharf n-fach transitive Permutationsmengen
    • W. Heise and K. Sörensen, "Scharf n-fach transitive Permutationsmengen," Abh. Math. Sem. Univ. Hamburg 43 (1975), 144-145.
    • (1975) Abh. Math. Sem. Univ. Hamburg , vol.43 , pp. 144-145
    • Heise, W.1    Sörensen, K.2
  • 11
    • 0012850545 scopus 로고
    • A computer search for finite projective planes of order 9
    • C.W.H. Lam, G. Kolesowa, and L. Thiel, "A computer search for finite projective planes of order 9," Discrete Math. 92 (1991), 187-195.
    • (1991) Discrete Math. , vol.92 , pp. 187-195
    • Lam, C.W.H.1    Kolesowa, G.2    Thiel, L.3
  • 12
    • 0039259226 scopus 로고
    • Una nuova classe di insiemi di permutazioni strettamente n-transitivi
    • P. Lancellotti, "Una nuova classe di insiemi di permutazioni strettamente n-transitivi," Atti Sem. Mat. Fis. Univ. Modena 30 (1981), 83-93.
    • (1981) Atti Sem. Mat. Fis. Univ. Modena , vol.30 , pp. 83-93
    • Lancellotti, P.1
  • 13
    • 34249926113 scopus 로고
    • Diagram geometries for sharply n-transitive sets of permutations or of mappings
    • A. Pasini, "Diagram geometries for sharply n-transitive sets of permutations or of mappings," Des. Codes Cryptography 1 (1992), 275-297.
    • (1992) Des. Codes Cryptography , vol.1 , pp. 275-297
    • Pasini, A.1
  • 14
    • 0041037829 scopus 로고
    • Finite Minkowski planes in which every circle-symmetry is an automorphism
    • N. Percsy, "Finite Minkowski planes in which every circle-symmetry is an automorphism," Geom. Dedicata 10 (1981), 269-282.
    • (1981) Geom. Dedicata , vol.10 , pp. 269-282
    • Percsy, N.1
  • 15
    • 0040676522 scopus 로고    scopus 로고
    • Invertible sharply n-transitive sets
    • B. Polster, "Invertible sharply n-transitive sets," J. of Combinatorial Th., Ser. A 81 (1998), 231-254.
    • (1998) J. of Combinatorial Th., Ser. A , vol.81 , pp. 231-254
    • Polster, B.1
  • 16
    • 0039259244 scopus 로고
    • A result concerning the existence of certain Minkowski-2-structures
    • P. Quattrocchi and C. Fiori, "A result concerning the existence of certain Minkowski-2-structures," J. of Geometry 14 (1980), 139-142.
    • (1980) J. of Geometry , vol.14 , pp. 139-142
    • Quattrocchi, P.1    Fiori, C.2
  • 18
  • 19
    • 0037561316 scopus 로고
    • A remark on Benz planes of order 9
    • G.F. Steinke, "A remark on Benz planes of order 9," Ars Combinatoria 34 (1992), 257-267.
    • (1992) Ars Combinatoria , vol.34 , pp. 257-267
    • Steinke, G.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.