We investigate the topological properties of the poset of proper cosets xH in a finite group G. Of particular interest is the reduced Euler characteristic, which is closely related to the value at -1 of the probabilistic zeta function of G. Our main result gives divisibility properties of this reduc
β¦ LIBER β¦
Crowns and factorization of the probabilistic zeta function of a finite group
β Scribed by E. Detomi; A. Lucchini
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 173 KB
- Volume
- 265
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
β¦ Synopsis
We employ the concept of crown to study the generalized Euler factors of the probabilistic zeta function of finite groups.
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