Cocycles and Local Product Decomposition
β Scribed by Jun-Ichi Tanaka
- Book ID
- 125695628
- Publisher
- American Mathematical Society
- Year
- 1983
- Tongue
- English
- Weight
- 741 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/1999171
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## Abstract In this article, we introduce what we call twisted Kronecker products of cocycles of finite groups and show that the twisted Kronecker product of two cocycles is a Hadamard cocycle if and only if the two cocycles themselves are Hadamard cocycles. This enables us to generalize some known
## Abstract By a result of Gallai, every finite graph __G__ has a vertex partition into two parts each inducing an element of its cycle space. This fails for infinite graphs if, as usual, the cycle space is defined as the span of the edge sets of finite cycles in __G__. However, we show that, for t