scholarly journals Connecting monomiality questions with the structure of rational group algebras

2021 ◽  
pp. 106931
Author(s):  
Gurmeet K. Bakshi ◽  
Gurleen Kaur
Keyword(s):  
Group Algebras ◽  
Rational Group

Central Idempotents and Units in Rational Group Algebras of Alternating Groups

1998 ◽  
Vol 08 (04) ◽  
pp. 467-477 ◽  
Author(s):  
A. Giambruno ◽  
E. Jespers
Keyword(s):  
Group Algebra ◽  
Finite Index ◽  
Explicit Description ◽  
Alternating Group ◽  
Group Algebras ◽  
Young Tableaux ◽  
Rational Group ◽  
Alternating Groups ◽  
Group Of Units

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.

Residual solvability of the unit groups of rational group algebras

1987 ◽  
Vol 48 (3) ◽  
pp. 213-216 ◽  
Author(s):  
Ashwani K. Bhandari ◽  
I. B. S. Passi
Keyword(s):  
Group Algebras ◽  
Rational Group

scholarly journals PRIMITIVE CENTRAL IDEMPOTENTS OF RATIONAL GROUP ALGEBRAS

2012 ◽  
Vol 12 (01) ◽  
pp. 1250130
Author(s):  
GEOFFREY JANSSENS
Keyword(s):  
Finite Group ◽  
Group Algebra ◽  
Group Algebras ◽  
Rational Group ◽  
A Finite Group ◽  
Del Rio

We give a description of the primitive central idempotents of the rational group algebra ℚG of a finite group G. Such a description is already investigated by Jespers, Olteanu and del Río, but some unknown scalars are involved. Our description also gives answers to their questions.

Primitive Central Idempotents in Rational Group Algebras

2012 ◽  
Vol 40 (4) ◽  
pp. 1413-1426 ◽  
Author(s):  
Gurmeet K. Bakshi ◽  
Inder Bir S. Passi
Keyword(s):  
Group Algebras ◽  
Rational Group

Units of Integral Group Rings of Some Metacyclic Groups

1994 ◽  
Vol 37 (2) ◽  
pp. 228-237 ◽  
Author(s):  
Eric Jespers ◽  
Guilherme Leal ◽  
C. Polcino Milies
Keyword(s):  
Finite Index ◽  
Unit Group ◽  
Group Algebras ◽  
Group Rings ◽  
Integral Group ◽  
Rational Group ◽  
Metacyclic Groups ◽  
Integral Group Rings ◽  
Almost All ◽  
Natural Way

AbstractIn this paper, we consider all metacyclic groups of the type 〈a,b | an - 1, b2 = 1, ba = aib〉 and give a concrete description of their rational group algebras. As a consequence we obtain, in a natural way, units which generate a subgroup of finite index in the full unit group, for almost all such groups.

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