We study the structure of some solvable finite subgroups in groups with self-normalizing subgroup.
References
A. I. Sozutov, “On the existence of f-local subgroups in a group,” Algebra Logika, 36, No. 5, 573–598 (1997).
A. I. Sozutov and V. P. Shunkov, “On one generalization of the Frobenius theorem to infinite groups,” Mat. Sb., 100, No. 4, 495–506 (1976).
G. Higman, “Groups and rings having automorphisms without nontrivial fixed points,” J. London Math. Soc., 32, 321–334 (1957).
J. G. Thompson, “Finite groups with fixed point free automorphisms of prime order,” Proc. Nat. Acad. Sci. USA, 45, 578–581 (1959).
M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Group Theory [in Russian], Nauka, Moscow (1982).
S. N. Chernikov, Groups with Given Properties of a System of Subgroups [in Russian], Nauka, Moscow (1980).
N. D. Podufalov, “Finite simple groups without elements of orders 6 and 10,” Algebra Logika, 14, No. 1, 79–85 (1975).
M. Hall, Jr., The Theory of Groups, Macmillan, New York (1959).
Author information
Authors and Affiliations
Additional information
Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 12, pp. 1716–1721, December, 2008.
Rights and permissions
About this article
Cite this article
Yakovleva, E.N. Solvable subgroups in groups with self-normalizing subgroup. Ukr Math J 60, 2015–2020 (2008). https://doi.org/10.1007/s11253-009-0187-z
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-009-0187-z