Algorithm for Testing Membership Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g of f~ = { 1,2 ..... n }; a base and strong ~enerating set for G; Schreier vectors v (i) , 1 < i < k, for the stabiliser chain; Output: a boolean value answer, indicating whether g ~ G; function is_in_group(p : permutation; i : 1..k+l ) : boolean; (* return true if the permutation p is in the group G (i) *)
Algorithm for Testing Membership Input : a group G acting on f~ = { 1,2 ..... n }; a permutation g of f~ = { 1,2 ..... n }; a base and strong ~enerating set for G; Schreier vectors v (i) , 1 < i < k, for the stabiliser chain; Output: a boolean value answer, indicating whether g ~ G; function is_in_group(p : permutation; i : 1..k+l ) : boolean; (* return true if the permutation p is in the group G (i) *)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Input : a group G acting on f~ = { 1,2 ..... n };
a permutation g of f~ = { 1,2 ..... n };
a base and strong ~enerating set for G;
Schreier
Output: a boolean value answer, indicating whether g ~ G;
function is_in_group(p : permutation; i : 1..k+l ) : boolean;
(* return true if the permutation p is in the group G (i) *)
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