Integral representations of groups of square-free order
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Publication:1263667
DOI10.1016/0021-8693(90)90238-JzbMath0688.20003MaRDI QIDQ1263667
Publication date: 1990
Published in: Journal of Algebra (Search for Journal in Brave)
finite representation typeisomorphism problemintegral group ring\({\mathbb{Z}}G\)-latticeshereditary orders in skew group algebrasindecomposable \({\mathbb{Z}}G\)-lattices
Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05)
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Cites Work
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- Failure of the Krull-Schmidt theorem for integral representations
- Modules over Dedekind-like rings
- \({\mathbb{Z}}G_ n\)-modules, \(G_ n\) cyclic of square-free order n
- Commutative orders whose lattices are direct sums of ideals
- Invariants of integral representations
- Dedekind-like behavior of rings with 2-generated ideals
- Modules over pullbacks and subdirect sums
- Mixed modules over ZG, G cyclic of prime order, and over related Dedekind pullbacks
- Integral representations of non-abelian groups of order pq
- On the ubiquity of Gorenstein rings
- Modules over the integral group ring of a nonabelian group of order 𝑝𝑞
- Integral Representations of Dihedral Groups of Order 2p
