# IJPAM: Volume 10, No. 4 (2004)

**THE GROUPS OF INFINITE INVERTIBLE**

MATRICES AND THE REGULAR REPRESENTATION

OF INFINITE POWER GROUPS

MATRICES AND THE REGULAR REPRESENTATION

OF INFINITE POWER GROUPS

Zhang ChengyiDepartment of Computer Science and Mathematics, Hainan Normal University, Haikou, Hainan, 571158, P.R. CHINA, Dang Pingan, Fu Haiyan

Department of Computer Science and Mathematics

Hainan Normal University

Haikou, Hainan, 571158, P.R. CHINA

Department of Mathematics

Zhumadian Teachers College

Zhumadian, Henan, 463000, P.R. CHINA

e-mail: chengyizh@163.net

Department of Computer Science and Mathematics

Hainan Normal University

Haikou, Hainan, 571158, P.R. CHINA

Department of Mathematics

Zhumadian Teachers College

Zhumadian, Henan, 463000, P.R. CHINA

e-mail: chengyizh@163.net

**Abstract.**The groups of infinite invertible matrices over a field
and its some subgroups are discussed, the regular
representations and matrix representations of an infinite power
groups are given by the infinite linear group actions on the
infinite power group.

**Received: **October 27, 2003

**AMS Subject Classification: **15A09

**Key Words and Phrases: **infinite matrix, infinite power group, regular representation, matrix representation

**Source:** International Journal of Pure and Applied Mathematics

**ISSN:** 1311-8080

**Year:** 2004

**Volume:** 10

**Issue:** 4