𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A proof of Solomon's second conjecture on local zeta functions of orders

✍ Scribed by Osamu Iyama

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
111 KB
Volume
259
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis

Throughout this paper, let R be a complete discrete valuation ring with the residue field k and the quotient field K, and Ξ› an R-order in a semisimple K-algebra A [CR]. We assume that k is a finite field with q elements. For an A-module V of finite length, we denote by L Ξ› (V ) the set of full Ξ›-lattices in V , then L Ξ› (V ) := L Ξ› (V )/ is a finite set by Jordan-Zassenhaus Theorem [CR]. For L, M ∈ L Ξ› (V ), L.

πŸ“œ SIMILAR VOLUMES

Proof of a Conjecture of Bollob?s on Nes
Proof of a Conjecture of Bollob?s on Nested Cycles
✍ Guantao Chen; Paul ErdΓ³s; William Staton πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 221 KB

For any positive integer k, a minimum degree condition is obtained which forces a graph to have k edge-disjoint cycles C 1 , C 2 , ..., C k such that V(C 1