Associative nil-algebras and Golod groups

被引：1

作者：

Sereda V.A. ^{[1
]}

Sozutov A.I. ^{[2
]}

机构：

[1] Krasnoyarsk 660094

[2] Krasnoyarsk 660041

来源：

Algebra and Logic | 2006年 / 45卷 / 2期

关键词：

Adjoint group; Associative algebra; Golod group;

D O I：

10.1007/s10469-006-0012-9

中图分类号：

学科分类号：

摘要：

Non-nilpotent, finitely generated, associative, nil-algebras are studied as well as their adjoint groups and Golod groups. Solutions are given to some problems in residually finite group theory, questions posed in the Kourovka Notebook included. © 2006 Springer Science+Business Media, Inc.

引用

页码：134 / 138

页数：4

共 6 条

[1]

Golod E.S., Nil-algebras and residually finite groups, Izv. Akad. Nauk SSSR, Ser. Mat., 28, 2, pp. 273-276, (1964)

[2]

Sereda V.A., Sozutov A.I., Associative nil-algebras and Golod groups, Proc. 21st Higher Schools of Learning Science and Technology Conf. 'Math.', pp. 21-44, (2003)

[3]

Unsolved Problems in Group Theory, the Kourovka Notebook, 15th Edn., (2002)

[4]

Zhevlakov K.A., Slin'ko A.M., Shestakov I.P., Shirshov A.I., Almost Associative Rings in Russian, (1978)

[5]

Mal'tsev A.I., Generalized nilpotent algebras and their adjoint groups, Mat. Sb., 25, pp. 347-366, (1949)

[6]

Rozhkov A.V., Finiteness conditions in groups of tree automorphisms, Algebra Logika, 37, 5, pp. 568-605, (1998)

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