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» Algorithms for a class of infinite permutation groups
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ICMS
2010
13 years 5 months ago
Computing Polycyclic Quotients of Finitely (L-)Presented Groups via Groebner Bases
We announce the development and implementation of a new GAP package PCQL. This facilitates the computation of consistent polycyclic presentations for polycyclic quotients of groups...
Bettina Eick, Max Horn
JCT
2010
112views more  JCT 2010»
13 years 5 months ago
Annular embeddings of permutations for arbitrary genus
In the symmetric group on a set of size 2n, let P2n denote the conjugacy class of involutions with no fixed points (equivalently, we refer to these as “pairings”, since each ...
I. P. Goulden, William Slofstra
MOC
2000
80views more  MOC 2000»
13 years 7 months ago
A modification of Shanks' baby-step giant-step algorithm
Abstract. I describe a modification to Shanks' baby-step giant-step algorithm for computing the order n of an element g of a group G, assuming n is finite. My method has the a...
David C. Terr
AAECC
2009
Springer
136views Algorithms» more  AAECC 2009»
14 years 2 months ago
There Are Not Non-obvious Cyclic Affine-invariant Codes
We show that an affine-invariant code C of length pm is not permutation equivalent to a cyclic code except in the obvious cases: m = 1 or C is either {0}, the repetition code or it...
José Joaquín Bernal, Ángel de...
COCO
2005
Springer
77views Algorithms» more  COCO 2005»
14 years 27 days ago
On the Sensitivity of Cyclically-Invariant Boolean Functions
In this paper we construct a cyclically invariant Boolean function whose sensitivity is Θ(n1/3 ). This result answers two previously published questions. Tur´an (1984) asked if ...
Sourav Chakraborty