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Springer Correspondences for Dihedral Groups

✍ Scribed by P. N. Achar; A.-M. Aubert

Publisher
SP Birkhäuser Verlag Boston
Year
2008
Tongue
English
Weight
444 KB
Volume
13
Category
Article
ISSN
1083-4362

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📜 SIMILAR VOLUMES

Spectral theory for the dihedral group
Spectral theory for the dihedral group
✍ B. Helffer; M. Hoffmann-Ostenhof; T. Hoffmann-Ostenhof; N. Nadirashvili 📂 Article 📅 2002 🏛 Springer 🌐 English ⚖ 310 KB
Exceptional trivalent cayley graphs for
Exceptional trivalent cayley graphs for dihedral groups
✍ David L. Powers 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 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.

Difference sets in dihedral groups
Difference sets in dihedral groups
✍ Ka Hin Leung; Siu Lun Ma; Yan Loi Wong 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 221 KB

~ study the existence of nontrivial (2m, k, X )-difference sets in dihedral groups. Some nonexistence results are proved. In particular, we show that n = k -3, is odd and ¢(n)/n < 112. Finally, a computer search shows that, except 5 undecided cases, no nontrivial difference set exists in dihedral gr