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» Expanders In Group Algebras
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HYBRID
2007
Springer
14 years 3 months ago
Groupoids in Control Systems and the Reachability Problem for a Class of Quantized Control Systems with Nonabelian Symmetries
The aim of this paper is twofold. On one hand we present an approach to the general problem of nonlinear control in the framework of (differentiable) groupoids, which, in our opin...
Alessandro Arsie, Emilio Frazzoli
ANTS
2004
Springer
109views Algorithms» more  ANTS 2004»
14 years 2 months ago
On the Complexity of Computing Units in a Number Field
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...
Vikraman Arvind, Piyush P. Kurur
SIAMCOMP
2008
103views more  SIAMCOMP 2008»
13 years 8 months ago
Compression in Finite Fields and Torus-Based Cryptography
Abstract. We present efficient compression algorithms for subgroups of multiplicative groups of finite fields, we use our compression algorithms to construct efficient public key c...
Karl Rubin, Alice Silverberg
JSC
2007
130views more  JSC 2007»
13 years 8 months ago
The Moufang loops of order 64 and 81
We classify Moufang loops of order 64 and 81 up to isomorphism, using a linear algebraic approach to central loop extensions. In addition to the 267 groups of order 64, there are ...
Gábor P. Nagy, Petr Vojtechovský
ICDE
2006
IEEE
119views Database» more  ICDE 2006»
14 years 10 months ago
Laws for Rewriting Queries Containing Division Operators
Relational division, also known as small divide, is a derived operator of the relational algebra that realizes a many-to-one set containment test, where a set is represented as a ...
Ralf Rantzau, Christoph Mangold