References
M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of Group Theory [in Russian], Nauka, Moscow (1982).
Kourov Notebook [in Russian], Novosibirsk (1968).
A. I. Sozutov, “Splittable groups,” in: Abstracts of Reports to the 18-th All-Union Algebraic Conference [in Russian], Kishinev (1985), p. 181.
B. Huppert, Endliche Gruppen I, Springer Verlag, Berlin (1967).
G. Higman, “Groups and rings with point-free automorphisms of prime order,” J. London Math. Soc.,32, 321–334 (1957).
E. I. Khukhro, “Nilpotence of solvable groups admitting a splitting automorphism of prime order,” Algebra Logika,19, No. 1, 118–129 (1980).
S. I. Adyan, Burnside's Problem and Identities in Groups [in Russian], Nauka, Moscow (1975).
V. P. Shunkov, Mp-Groups [in Russian], Nauka, Moscow (1990).
A. I. Kostrikin, Around Burnside [in Russian], Nauka, Moscow (1986).
O. H. Kegell, “Die Nilpotentz der Hp-Gruppen,” Math. Z.,75, 373–376 (1961).
A. I. Sozutov, “Groups with Frobenius pairs of conjugate elements,” Algebra Logika,16, No. 2, 204–212 (1977).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 57, No. 3, pp. 377–385, March, 1995.
Rights and permissions
About this article
Cite this article
Larin, S.V., Sozutov, A.I. Splittable groups with splitting component of prime index. Math Notes 57, 266–270 (1995). https://doi.org/10.1007/BF02303972
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02303972