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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


SK1 of dihedral groups
✍ Bruce Magurn 📂 Article 📅 1978 🏛 Elsevier Science 🌐 English ⚖ 798 KB
Sequencing the dihedral groups D4k
✍ Paul Li 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 226 KB

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),

Class groups of dihedral extensions
✍ Franz Lemmermeyer 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB

## 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‐