Literature Cited
M. Suzuki, “Finite groups in which the centralizer of any element of order 2 is 2-closed,” Ann. Math.,82, No. 2, 191–212 (1965).
V. M. Sitnikov and A. I. Starostin, “Finite groups with decomposable centralizers of involutions,” Matem. Zap. Ural'skii Univ.,7, No. 3, 200–227 (1970).
M. Suzuki, “A characterization of the simple groups PSL(2, q),” J. Math. Soc. Japan,20, Nos. 1–2, 342–349 (1968).
V. M. Busarkin and Yu. M. Gorchakov, Finite Decomposable Groups [in Russian], Nauka (1968).
J. S. Brodkey, “A note on finite groups with an abelian Sylow group,” Proc. Amer. Math. Soc.,14, No. 1, 132–133 (1963).
M. Suzuki, “A characterization of simple groups LF(2, p),” J. Fac. Sci. Univ. Tokyo, Sec., 1, 259–293 (1951).
D. Gorenstein and J. H. Walter, “The characterization of finite groups with dihedral Sylow 2-subgroups,” I, II, III, J. Algebra,2, 85–151, 218–270, 354–393 (1965).
S. A. Chunikhin, “Existence of subgroups in a finite group,” Proceed. Seminar on Group Theory, GONTI, Moscow-Leningrad (1938), pp. 106–125.
M. Hall, Theory of Groups, Macmillan, New York (1959).
R. Brauer and M. Suzuki, “On finite groups of even order whose 2-Sylow group is a quaternion group,” Proc. Nat. Acad. Sci. USA, No. 12, 1757–1759 (1959).
D. Gorenstein, “Finite groups in which Sylow 2-subgroups are abelian and centralizers of involutions are solvable,” Canad. J. Math.,17, No. 6, 860–906 (1965).
Additional information
Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 4, pp. 761–766, July–August, 1972.
Rights and permissions
About this article
Cite this article
Belonogov, V.A. Finite groups with 2-decomposable centralizers of involutions. Sib Math J 13, 525–528 (1972). https://doi.org/10.1007/BF00971044
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00971044