The Neighbourhood of Dihedral 2-Groups
✍ Scribed by Martin Bálek; Aleš Drápal; Natalia Zhukavets
- Publisher
- Springer Netherlands
- Year
- 2005
- Tongue
- English
- Weight
- 215 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0167-8019
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📜 SIMILAR VOLUMES
A finite group is sequenceable if its elements can be listed in such a way that the partial products are distinct. The sequenceability of several classes of groups has previously been investigated. In particular, it has been shown [5] that the dihedral groups D. = (or, z l~r" = z 2 = 1, za = tr-lz),
## Abstract Let __L/F__ be a dihedral extension of degree 2__p__, where __p__ is an odd prime. Let __K/F__ and __k/F__ be subextensions of __L/F__ with degrees __p__ and 2, respectively. Then we will study relations between the __p__‐ranks of the class groups Cl(__K__) and Cl(__k__). (© 2005 WILEY‐