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Volumn 90, Issue 1, 2002, Pages 145-151

An elementary proof of the fundamental theorem of projective geometry

Author keywords

Fundamental theorem; Projective geometry; Wigner's theorem

Indexed keywords


EID: 0141564841     PISSN: 00465755     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1014933313332     Document Type: Article
Times cited : (83)

References (23)
  • 3
    • 0004190631 scopus 로고
    • Amer. Math. Soc. Coll. Publ. 25, Amer. Math. Soc., New York
    • Birkhoff, G.: Lattice Theory (2nd edn), Amer. Math. Soc. Coll. Publ. 25, Amer. Math. Soc., New York, 1948.
    • (1948) Lattice Theory (2nd Edn)
    • Birkhoff, G.1
  • 5
    • 0011307695 scopus 로고
    • Eine geometrische kennzeichnung linearer abbildungen
    • Brauner, H.: Eine geometrische Kennzeichnung linearer Abbildungen, Monatsh. Math. 77 (1973), 10-20.
    • (1973) Monatsh. Math. , vol.77 , pp. 10-20
    • Brauner, H.1
  • 6
    • 0010764903 scopus 로고
    • Projective and affine geometry over division rings
    • North-Holland, Amsterdam
    • Buekenhout, F. and Cameron, P.: Projective and affine geometry over division rings, In: Handbook of Incidence Geometry, North-Holland, Amsterdam, 1995, pp. 63-105.
    • (1995) Handbook of Incidence Geometry , pp. 63-105
    • Buekenhout, F.1    Cameron, P.2
  • 7
    • 0003956966 scopus 로고
    • Wiley, London
    • Cohn, P. M.: Algebra, vol. 2, Wiley, London, 1977.
    • (1977) Algebra , vol.2
    • Cohn, P.M.1
  • 8
    • 34250081554 scopus 로고
    • Morphisms of projective geometries and of corresponding lattices
    • Faure, C.-A. and Frölicher A.: Morphisms of projective geometries and of corresponding lattices, Geom. Dedicata 47 (1993), 25-40.
    • (1993) Geom. Dedicata , vol.47 , pp. 25-40
    • Faure, C.-A.1    Frölicher, A.2
  • 9
    • 34249770087 scopus 로고
    • Morphisms of projective geometries and semilinear maps
    • Faure, C.-A. and Frölicher A.: Morphisms of projective geometries and semilinear maps, Geom. Dedicata 53 (1994), 237-262.
    • (1994) Geom. Dedicata , vol.53 , pp. 237-262
    • Faure, C.-A.1    Frölicher, A.2
  • 10
    • 0000458341 scopus 로고
    • Dualities in infinite-dimensional projective geometries
    • Faure, C.-A. and Frölicher A.: Dualities in infinite-dimensional projective geometries, Geom. Dedicata 56 (1995), 225-236.
    • (1995) Geom. Dedicata , vol.56 , pp. 225-236
    • Faure, C.-A.1    Frölicher, A.2
  • 11
    • 0011268104 scopus 로고
    • Zur theorie linearer abbildungen I
    • Havlicek, H.: Zur Theorie linearer Abbildungen I, J. Geom. 16 (1981), 152-167.
    • (1981) J. Geom. , vol.16 , pp. 152-167
    • Havlicek, H.1
  • 12
    • 0011268105 scopus 로고
    • A generalization of Brauner's theorem on linear mappings
    • Havlicek, H.: A generalization of Brauner's theorem on linear mappings, Mitt. Math. Sem. Giessen 215 (1994), 27-41.
    • (1994) Mitt. Math. Sem. Giessen , vol.215 , pp. 27-41
    • Havlicek, H.1
  • 15
    • 0011345542 scopus 로고
    • Projektive geometrien mit homomorphismus
    • Klingenberg, W.: Projektive Geometrien mit Homomorphismus, Math. Ann. 132 (1956), 180-200.
    • (1956) Math. Ann. , vol.132 , pp. 180-200
    • Klingenberg, W.1
  • 16
    • 0011315663 scopus 로고
    • Homomorphismen von projektiven räumen und verallgemeinerte semilineare abbildungen
    • Machala, F.: Homomorphismen von projektiven Räumen und verallgemeinerte semilineare Abbildungen, Časopis Pěst. Mat. 100 (1975), 142-154.
    • (1975) Časopis Pěst. Mat. , vol.100 , pp. 142-154
    • Machala, F.1
  • 18
    • 0011273298 scopus 로고
    • Darstellung nicht-injektiver kollineationen eines projektiven raumes durch verallgemeinerte semilineare abbildungen
    • Radó, F.: Darstellung nicht-injektiver Kollineationen eines projektiven Raumes durch verallgemeinerte semilineare Abbildungen, Math. Z. 110 (1969), 153-170.
    • (1969) Math. Z. , vol.110 , pp. 153-170
    • Radó, F.1
  • 19
    • 0011358079 scopus 로고
    • Der fundamentalsatz für projektionen
    • Sörensen, K.: Der Fundamentalsatz für Projektionen, Mitt. Math. Ges. Hamburg 11 (1985), 303-309.
    • (1985) Mitt. Math. Ges. Hamburg , vol.11 , pp. 303-309
    • Sörensen, K.1
  • 21
    • 0011353716 scopus 로고
    • Collineations in a finite projective geometry
    • Veblen, O.: Collineations in a finite projective geometry, Trans. Amer. Math. Soc. 8 (1907), 366-368.
    • (1907) Trans. Amer. Math. Soc. , vol.8 , pp. 366-368
    • Veblen, O.1
  • 23
    • 0141582122 scopus 로고
    • Lineare abbildungen in reellen vektorräumen
    • Zick, W.: Lineare Abbildungen in reellen Vektorräumen, Math. Phys. Sem. Ber. 30 (1983), 167-170.
    • (1983) Math. Phys. Sem. Ber. , vol.30 , pp. 167-170
    • Zick, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.