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Integral Representations of Cyclic Groups of Orderp2

✍ Scribed by Ming-chang Kang

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
427 KB
Volume
207
Category
Article
ISSN
0021-8693

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✦ Synopsis

Let p be any prime number, G be the cyclic group of order p 2 , and ⌳ [ RG be the group algebra of G over a Dedekind domain R such that pR is a maximal

2 ideal in R and both R T r⌽ T and R T r⌽ T are Dedekind domains also,

Ž . where ⌽ T is the nth cyclotomic polynomial. We shall provide a full list of n indecomposable ⌳ lattices constructed in an explicit way. A complete set of invariants of these indecomposable ⌳ lattices will be determined also, under an w additional assumption on R. The above results were obtained by Reiner Pacific J.

Ε½ .

πŸ“œ SIMILAR VOLUMES

The Finite Groups of Orderp2qwithp-Block
The Finite Groups of Orderp2qwithp-Blocks of Defect 0
✍ Hu Lei; Shi Shengming πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 111 KB

Defect groups play a key role in the block theory of modular representations of finite groups and are the most important object which connects group theoretical properties and representation theoretical properties. It is well known that the problem-to decide when a given p-subgroup D is a defect gro