TARU PUBLICATIONS
Author

E. Nandakumar

Department of Mathematics College of Engineering and Technology SRM Institute of Science & Technology, Kattankulathur, Tamil Nadu, 603203, India

Published papers
3
Citations
1
Views
524
Downloads
23

Publications

3 papers
Open Access Research Article·pp. 2461–2472·Vol. 27, Issue 8Dec 2024

The structure of the unit group of the group algebra KqSL(2, ℤ7)

N. U. Sivaranjani, E. Nandakumar, G. Mittal, R. K. Sharma

Published Online: 18 Dec 2024DOI: 10.47974/JDMSC-2066

In this paper: This article focusus on characterizing the units of the group algebra KqSL(2, ℤ7), where SL(2, ℤ7) is a special linear group of 2 × 2 matrices over the finite field ℤ7. 

AbstractReferencesFull Text PDF (238 KB)Views: 178Downloads: 9Citations: 0
Open Access Research Article·pp. 1383–1404·Vol. 27, Issue 6Sep 2024

Unit groups of semisimple group algebras of groups up to order 180

N. Abhilash, E. Nandakumar, G. Mittal, R. K. Sharma

Published Online: 30 Sep 2024DOI: 10.47974/JIM-1858

In this paper: In this paper, we discuss the structure of the unit groups of the semisimple group algebras of 10 non-metabelian group having orders 150, 160, 168 and 180, respectively. In particular, we consider the...

AbstractReferencesFull Text PDF (343 KB)Views: 128Downloads: 6Citations: 0
Open Access Research Article·pp. 121–134·Vol. 27, Issue 1Feb 2024

On the unit group of the semisimple group algebra KqGL(2, ℤ5) 

N. U. Sivaranjani, E. Nandakumar, G. Mittal, R. K. Sharma

Published Online: 27 Feb 2024DOI: 10.47974/JIM-1733

In this paper: In this article, we determine the unit group of the semisimple group algebra KqGL(2, ℤ5) of general linear group of 2 × 2 invertible matrices over the finite field ℤ5. Here Kq represents a finite fiel...

AbstractReferencesFull Text PDF (309 KB)Views: 218Downloads: 8Citations: 1