Abstract
We characterize a class of T 0-groups related to the infinite Burnside groups of odd period.
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REFERENCES
M. I. Kargapolov and Yu. I. Merzlyakov, Foundations of the Theory of Groups [in Russian], Nauka, Moscow (1982).
A. I. Kostrikin, Around Burnside [in Russian], Nauka, Moscow (1982).
E. I. Zelmanov, “The solution of the restricted Burnside problem for 2-groups,” Mat. Sb., 182, No. 4, 568–592 (1991).
E. I. Zelmanov, “The solution of the restricted Burnside problem for groups of odd index,” Izv. Akad. Nauk USSR. Ser. Mat. (1990).
P. Hall and G. Higman, “On the p-length of p-soluble groups and reduction theorems for Burnside's problem,” Proc. London Math. Soc., 6, 1–42 (1956).
P. S. Novikov and S. I. Adian, “On infinite periodic groups, I–III,” Izv. Akad. Nauk USSR. Ser. Mat., 32, No. 1–3 (1968).
P. S. Novikov and S. I. Adian, “On commutative subgroups and the problem of conjunction in free periodic groups of odd order,” Izv. Akad. Nauk USSR. Ser. Mat., 32, No. 5, 1176–1190 (1968).
W. Burnside, “On an unsettled question in the theory of discontinuous groups,” Quart. J. Pure Appl. Math., 33, 230–238 (1902).
P. S. Novikov, “On periodic groups,” Dokl. Akad. Nauk USSR, 127, No. 4, 749–752 (1959).
S. I. Adian, A Problem of Burnside and Identity in Groups [in Russian], Nauka, Moscow (1975).
S. I. Adian, “On some torsion-free groups,” Izv. Akad. Nauk USSR. Ser. Mat., 35, No. 3, 459–468 (1971).
A. Yu. Olshanskii, “Infinite groups with cyclic subgroups,” Dokl. Akad. Nauk USSR, 245, No. 4, 785–787 (1979).
A. Yu. Olshanskii, Geometry of Defining Relations in a Group [in Russian], Nauka, Moscow (1989).
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Shunkov, V.P. On Placement of Prime Order Elements in a Group. Ukrainian Mathematical Journal 54, 1069–1073 (2002). https://doi.org/10.1023/A:1021728723735
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DOI: https://doi.org/10.1023/A:1021728723735