Janko, Zvonimir A new finite simple group with abelian Sylow 2-subgroups and its characterization. (English) Zbl 0214.28003 J. Algebra 3, 147-186 (1966). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 100 Documents MSC: 20D20 Sylow subgroups, Sylow properties, \(\pi\)-groups, \(\pi\)-structure Citations:Zbl 0142.25903 × Cite Format Result Cite Review PDF Full Text: DOI ATLAS of Finite Group Representations: Janko group J1 Janko group J4 References: [1] Brauer, K., Investigations on group characters, Ann. Math., 42, 936-958 (1941) · Zbl 0061.03702 [2] Brauer, R., On some special cases of Schreier’s conjecture, (Symposium on group theory. Symposium on group theory, Harvard (1963)), 58-59 [3] Brauer, R., Some applications of the theory of blocks of characters of finite groups I, J. Algebra, 1, 152-167 (1964) · Zbl 0214.28101 [4] Brauer, R.; Fowler, K. A., On groups of even order, Ann. Math., 62, 565-583 (1955) · Zbl 0067.01004 [5] Burnside, W., Theory of Groups of Finite Order (1955), Dover publications · Zbl 0064.25105 [6] Coxeter, H. S.M, The abstract groups \(G^{m,n,p}\), Trans. Amer. Math. Soc., 45, 73-150 (1939) · Zbl 0020.20703 [7] Dickson, L. E., Linear Groups (1958), New York · Zbl 0082.24901 [8] Gorenstein, D.; Walter, J. H., On finite groups with dihedral Sylow 2-Subgroups, Illinois J. Math., 6, 553-593 (1962) · Zbl 0126.05202 [9] Janko, Z., A new finite simple group with abelian 2-Sylow subgroups, (Proc. Nat. Acad. Sci. U.S.A., 53 (1965)), 657-658 · Zbl 0142.25903 [10] \( \textsc{Janko, Z.}G_2 J. Algebra \); \( \textsc{Janko, Z.}G_2 J. Algebra \) [11] Janko, Z., and Thompson, J. G.J. Algebra; Janko, Z., and Thompson, J. G.J. Algebra [12] Schur, I., Untersuchungen über die Darstellung der endlichen Gruppen durch gebrochene lineare Substitutionen, J. für die reine Angew. Math., 132, 85-137 (1907) · JFM 38.0174.02 [13] Suzuki, M., On characterizations of linear groups. I, Trans. Amer. Math. Soc., 92, 191-204 (1959) · Zbl 0089.01605 [14] Suzuki, M., Applications of group characters, (Proc. Symp. Pure Math., 1 (1959)), 88-99 · Zbl 0097.01504 [15] Zassenhaus, H., (Lehrbuch der Gruppentheorie (1937), Teubner: Teubner Leipzig u. Berlin), 1956 · Zbl 0018.00901 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.