The group ring of \(\text{SL}_2(p^2)\) over the \(p\)-adic integers

DOI10.1006/jabr.1998.7565zbMath0923.20003OpenAlexW2029360413MaRDI QIDQ1279927

Gabriele Nebe

Publication date: 25 August 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7565

zbMATH Keywords

finite groupsgroup ringsirreducible latticesCartan invariantsspecial linear groupsbasic orders

Mathematics Subject Classification ID

Group rings (16S34) (p)-adic representations of finite groups (20C11) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)

Related Items

The group ring of \(\text{SL}_2(p^f)\) over \(p\)-adic integers for \(p\) odd.

Cites Work

• The computations of some Schur indices
• Group rings of finite groups over p-adic integers
• Die Zerlegungsmatrizen der Gruppen \(PSL(2,p^f)\)
• The isomorphism problem for cyclic blocks and their source algebras
• On the cartan invariants of sl₂(_q)
• The Projective Indecomposable Modules of SL(2, p ⁿ )
• Finite subgroups of GL_n(Q) for 25 ≤ n ≤ 31
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