Central Idempotents and Units in Rational Group Algebras of Alternating Groups-Reference-Cited by-同舟云学术

Central Idempotents and Units in Rational Group Algebras of Alternating Groups

Published:1998-08 Issue:04 Volume:08 Page:467-477
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Giambruno A.¹,Jespers E.²

Affiliation:

1. Dipartimento di Matematica, Universitè di Palermo, Via Archirafi 34, 90123 Palermo, Italy

2. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, Newfoundland, A1C 5S7, Canada

Abstract

Let ℚAn be the group algebra of the alternating group over the rationals. By exploiting the theory of Young tableaux, we give an explicit description of the minimal central idempotents of ℚAn. As an application we construct finitely many generators for a subgroup of finite index in the centre of the group of units of ℚAn.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196798000223

Reference7 articles.

1. Generators of large subgroups of the unit group of integral group rings

2. Degree 1 and 2 representations of nilpotent groups and applications to units of group rings

3. Central units of integral group rings of nilpotent groups

4. Central units of the integral group ring $\mathbb {Z}A_5$

5. Induced Representations and Alternating Groups

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