𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Frobenius Numbers of Symmetric Groups

✍ Scribed by Yugen Takegahara


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
97 KB
Volume
221
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


Definition 1.1. A finitely generated group A is said to admit C(p s ) if the following conditions hold for any positive integer q such that 551


πŸ“œ SIMILAR VOLUMES


On the MΓΆbius Number of the Subgroup Lat
✍ John Shareshian πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 460 KB

In this paper, a formula is given for the Mo bius number +(1, S n ) of the subgroup lattice of the symmetric group S n . This formula involves the Mo bius numbers of certain transitive subgroups of S n . When n has at most two (not necessarily distinct) prime factors or n is a power of two, this for

On the Quantum Frobenius Map for General
✍ Edward S. Letzter πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 201 KB

For the quantum function algebras O O M and O O GL , at lth roots of unity q n q n when l is odd, the image under the q-analog of the Frobenius morphism charac-Ε½ . terizes each prime and primitive ideal uniquely up to automorphisms obtained from row and column multiplication of the standard generat

Decomposition Numbers for Symmetric Grou
✍ Karin Erdmann πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 131 KB

Suppose S S is the symmetric group of degree r and K is an algebraically r closed field of prime characteristic p. A major problem for the representation theory of S S over K is that of understanding the decomposition r

Symmetric (79, 27, 9)-designs Admitting
✍ Dieter Held; Mario-Osvin PavceviΔ‡ πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 241 KB

In this paper we present the classification of symmetric designs with parameters (79 , 27 , 9) on which a non-abelian group of order 39 acts faithfully . In particular , we show that such a group acts semi-standardly with 7 orbits . Using the method of tactical decompositions , we are able to constr