This is a preview of subscription content, log in via an institution to check access.
Literature Cited
A. P. Il'inykh, “Characterization of the finite simple Hall-Janko group,” Mat. Zametki,14, No. 4, 535–542 (1973).
V. V. Kabanov and A. I. Starostin, “Finite groups in which a a Sylow 2-subgroup of the centralizer of some involution has order 16,” Mat. Zametki,18, No. 6, 869–876 (1975).
V. D. Mazurov, “On centralizers of involutions in simple groups,” Mat. Sb.,93, No. 4, 529–539 (1974).
V. D. Mazurov and S. A. Syskin, “Finite groups, with 2-Sylow intersections of rank ≤2,” Mat. Zametki,16, No. 1, 129–134 (1974).
V. R. Maier, “Finite simple groups with Abelian centralizers of elements of odd order,” Sib. Mat. Zh.,16, No. 3, 551–561 (1975).
G. Glauberman, “Direct factors of Sylow 2-subgroups I.,” J. Algebra,28, No. 1, 133–161 (1974).
D. Goldschmidt, “2-fusion in finite groups,” Ann. Math.,99, No. 1, 70–117 (1974).
D. Gorenstein, Finite Groups, Harper and Row, New York (1968).
D. Gorenstein and K. Harada, “Finite groups whose Sylow 2-subgroups are the direct product of two dihedral groups,” Ann. Math.,95, No. 1, 1–54 (1972).
R. Lyons and Wen-jin Woan, “A characterization of some groups of characteristic two,” J. Algebra,31, No. 3, 452–459 (1974).
F. Smith, “Finite groups whose Sylow 2-subgroups are the direct product of dihedral and semidihedral groups,” Ill. J. Math.,17, No. 3, 352–386 (1973).
F. Smith, “A general characterization of the Janko simple group J2,” Arch. Math.,25, No. 1, 17–22 (1974).
M. Suzuki, “Finite groups of even order in which the Sylow 2-groups are independent,” Ann. Math.,80, No. 1, 58–77 (1964).
J. Walter, “The characterization of finite groups with Abelian Sylow 2-subgroups,” Ann. Math.,89, No. 3, 405–514 (1969).
Additional information
Translated from Algebra i Logika, Vol. 15, No. 3, pp. 292–299, May–June, 1976.
Rights and permissions
About this article
Cite this article
Kovalenko, A.P. Characterization of groups of Janko-Ree type and the Hall-Janko group. Algebra and Logic 15, 182–186 (1976). https://doi.org/10.1007/BF01876319
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01876319