A perfect non-topologizable group

Moscow University Mathematics Bulletin

Volumn 62, Issue 1, 2007, Pages 5-11

  Trofimov, A V ^a  

^a MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84859566982     PISSN: 00271322     EISSN: 19348444     Source Type: Journal    
DOI: 10.3103/S0027132207010020     Document Type: Article

References (10)

1. Unsolved Problems of Topological Algebra, Ed. by V. I. Arnautov, A. V. Arkhangel'skiǐ, P. I. Kirku, at al. (Shtiintsa, Kishinev, 1985) [in Russian].
2. A. A. Markov, "On Unconditionally Closed Sets," Matem. Sborn. 18(1), 3-28 (1946).
3. S. I. Adyan, "On Some Torsion-Free Groups," Izv. Akad. Nauk SSSR, Ser. Matem. 35(3), 459-468 (1971) [Izvestiya: Math. 5 (3), 475-484 (1971)].
4. A. Yu. Ol'shanskiǐ, "A Remark on a Countable Non-Topologizable Group," Vestn. Mosk. Univ., Matem. Mekhan. No 3, 103 (1980).
5. A. Yu. Ol'shanskiǐ, Geometry of Defining Relations in Groups (Nauka, Moscow, 1989; Kluwer Acad. Publ., Dordrecht, 1991).
6. S. A. Morris and V. N. Obraztsov, "Nondiscrete Topological Groups with Many Discrete Subgroups," Topol. Appl. 84, 105-120 (1998).
7. A. V. Trofimov, "Theorem on Embedding into a Non-Topologized Group," Vestn. Mosk. Univ. Matem. Mekhan. No 3, 60-62 (2005) [Mos. Univ. Math. Bull. 60 (3), 42-44 (2005)].
8. A. A. Klyachko and A. V. Trofimov, "The Number of Non-Solutions to an Equation in a Group," J. Group Theory 8(6), 747-754 (2005).
9. J. Nielsen, "Die Isomorphismen der Allgemeinen, Unendlichen Gruppe mit Zwei Erzeugenden," Math. Ann. 78, 385-397 (1918).
10. R. C. Lyndon and P. E. Schupp, Combinatorial Group Theory (Springer, 1977; Mir, Moscow, 1980).