𝔖 Bobbio Scriptorium
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SK1 of dihedral groups

✍ Scribed by Bruce Magurn


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
798 KB
Volume
51
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Class groups of dihedral extensions
✍ Franz Lemmermeyer πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 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__). (Β© 2005 WILEY‐

Sequencing certain dihedral groups
✍ John Isbell πŸ“‚ Article πŸ“… 1990 πŸ› Elsevier Science 🌐 English βš– 411 KB

At least three-fourths of the dihedral groups D, are sequenceable: all but D3 and D4 (which are not sequenceable) and perhaps Dbk for k 3 13. Sequencings are related to especially effective shuffles of a deck of cards.

Asymptotic Nonexistence of Difference Se
✍ Ka Hin Leung; Bernhard Schmidt πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 190 KB

We prove that for any primes p 1 ; . . . ; p s there are only finitely many numbers Q s iΒΌ1 p ai i ; a i 2 Z ΓΎ ; which can be orders of dihedral difference sets. We show that, with the possible exception of n ΒΌ 540; 225; there is no difference set of order n with 15n410 6 in any dihedral group.

Exceptional trivalent cayley graphs for
✍ David L. Powers πŸ“‚ Article πŸ“… 1982 πŸ› John Wiley and Sons 🌐 English βš– 432 KB

## Abstract If __n__ is divisible by at least three distinct primes, the dihedral group __D~n~__ can be generated by three nonredundant, involuntary elements. We study the Cayley graphs resulting from such a presentation of __D~n~__ for several families of __n__ and for all admissible __n__ < 120.