Nielsen-schreier-type theorems for algebras of formal power series in noncommuting indeterminates

Springer Science and Business Media LLC - Tập 27 Số 2 - Trang 217-226 - 1987
Yu. I. Kuz’min

Tóm tắt

Từ khóa


Tài liệu tham khảo

G. Baumslag, ?Some aspects of groups with unique roots,? Acta Math.,104, 217?303 (1960).

A. I. Mal'tsev, ?Torsion-free nilpotent groups,? Izv. Akad. Nauk SSSR, Ser. Mat.,13, 201?212 (1949).

M. M. Kargapolov, ?On ?-completions of locally nilpotent groups,? Algebra Logika,1, 37?44 (1962).

P. F. Pickel, ?Finitely generated nilpotent groups with isomorphic finite quotients,? Trans. AMS,160, 327?341 (1971).

J.-P. Serre, Lie Algebras and Lie Groups [Russian translation], Mir, Moscow (1969).

M. Lazard, ?Sur les groupes nilpotent et les anneaux de Lie,? Ann. Sci. Ecole Normale Sup.,71, No. 2, 101?190 (1954).

K. K. Andreev, ?Nilpotent groups and Lie algebras,? Algebra Logika,7, No. 4, 4?14 (1968).

A. L. Shmel'kin, ?Wreath products of Lie algebras and their application to group theory,? Tr. Mosk. Mat. O-va,29, 247?260 (1973).

A. L. Shmel'kin, ?Free polynilpotent groups,? Izv. Akad. Nauk SSSR., Ser. Mat.,28, 91?122 (1964).

A. G. Kurosh, Group Theory [in Russian], Nauka, Moscow (1967).

A. I. Shirshov, ?Subalgebras of free Lie algebras,? Mat. Sb.,33, No. 2, 441?452 (1953).

P. M. Cohn, Free Rings and Their Relations, Academic Press (1972).

A. D. Tavadze and A. L. Shmel'kin, ?Subgroups of free pronilpotent groups,? Soobshch. Akad. Nauk GruzSSR,93, 277?279 (1979).

V. S. Charin, ?On full groups with root series of finite length,? Dokl. Akad. Nauk SSSR,66, 808?811 (1949).

W. Magnus, A. Karass, and D. Solitar, Combinatorial Group Theory, Dover (1976).

J.-P. Serre, Gaolois Cohomology [Russian translation], Mir, Moscow (1968).

A. Lubotsky and A. Magid, ?Cohomology of unipotent and prounipotent groups,? J. Algebra,74, 76?95 (1982).

Y. Nauaze and P. Gabriel, ?Ideaux premiers de l'algebre enveloppante d'une algebre de Lie nilpotente,? J. Algebra,1, 77?99 (1967).

M. Atiyah and I. MacDonald, Introduction to Commutative Algebra, Addison-Wesley, Reading Mass. (1969).