Central Idempotents and Units in Rational Group Algebras of Alternating Groups
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Publication:4704554
DOI10.1142/S0218196798000223zbMath0942.16032OpenAlexW1985343869MaRDI QIDQ4704554
Antonio Giambruno, Eric Jespers
Publication date: 14 August 2000
Published in: International Journal of Algebra and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218196798000223
group algebrassubgroups of finite indexalternating groupscentral idempotentsYoung tableauxgroups of units
Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Units, groups of units (associative rings and algebras) (16U60)
Related Items
On idempotents and the number of simple components of semisimple group algebras, Unnamed Item, Simple components and central units in group algebras., Rational group algebras of finite groups: from idempotents to units of integral group rings., The ranks of central unit groups of integral group rings of alternating groups., Construction of central units in integral group rings of finite groups, Weyl modules for the Schur algebra of the alternating group.
Cites Work
- Generators of large subgroups of the unit group of integral group rings
- Degree 1 and 2 representations of nilpotent groups and applications to units of group rings
- Construction of Units in Integral Group Rings of Finite Nilpotent Groups
- Central units of integral group rings of nilpotent groups
- Induced Representations and Alternating Groups
- Central units of the integral group ring $\mathbb {Z}A_5$
