A Characterization of the Finite Simple Group PSp4(3)
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 872-894

Voir la notice de l'article provenant de la source Cambridge University Press

The aim of this paper is to characterize the finite simple group PSp4(3) by the structure of the centralizer of an involution contained in the centre of its Sylow 2-subgroup. More precisely, we shall prove the following result.
Janko, Zvonimir. A Characterization of the Finite Simple Group PSp4(3). Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 872-894. doi: 10.4153/CJM-1967-082-9
@article{10_4153_CJM_1967_082_9,
     author = {Janko, Zvonimir},
     title = {A {Characterization} of the {Finite} {Simple} {Group} {PSp4(3)}},
     journal = {Canadian journal of mathematics},
     pages = {872--894},
     year = {1967},
     volume = {19},
     number = {1},
     doi = {10.4153/CJM-1967-082-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-082-9/}
}
TY  - JOUR
AU  - Janko, Zvonimir
TI  - A Characterization of the Finite Simple Group PSp4(3)
JO  - Canadian journal of mathematics
PY  - 1967
SP  - 872
EP  - 894
VL  - 19
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-082-9/
DO  - 10.4153/CJM-1967-082-9
ID  - 10_4153_CJM_1967_082_9
ER  - 
%0 Journal Article
%A Janko, Zvonimir
%T A Characterization of the Finite Simple Group PSp4(3)
%J Canadian journal of mathematics
%D 1967
%P 872-894
%V 19
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1967-082-9/
%R 10.4153/CJM-1967-082-9
%F 10_4153_CJM_1967_082_9

[1] 1. Artin, E., Geometric algebra. Google Scholar

[2] 2. Brauer, R. and Suzuki, M., On finite groups of even order whose 2-Sylow group is a quaternion group, Proc. Nat. Acad. Sci. U.S.A., 45 (1959), 1757–1759. Google Scholar

[3] 3. Gorenstein, D. and Walter, J. H., On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math., 6 (1962), 553–593. Google Scholar

[4] 4. Hall, M. Jr., The theory of groups (New York, 1959). Google Scholar

[5] 5. Higman, D. G., Focal series infinite groups, Can. J. Math., 5 (1953), 477–497. Google Scholar

[6] 6. Suzuki, M., On characterizations of linear groups, I, Trans. Amer. Math. Soc., 92 (1959), 191–204. Google Scholar

[7] 7. Thompson, J. G., Non solvable finite groups whose non identity solvable subgroups have solvable normalizers (to appear). Google Scholar

[8] 8. Thompson, J. G. and Feit, W., Solvability of groups of odd order, Pacific J. Math., 13 (1963), 775–1029. Google Scholar

[9] 9. Wong, W. J., A characterization of the alternating group of degree 8, Proc. London Math. Soc., 13 (1963), 359–383. Google Scholar

Cité par Sources :