In particular, an SGS determines the order of a group and makes it easy to test membership in the group.
2.
There are other generic algorithms for computing the order of a group element that are more space efficient, such as Pollard's rho algorithm and the Pollard kangaroo method.
3.
The following partial converse is true for finite groups : if " d " divides the order of a group " G " and " d " is a prime number, then there exists an element of order " d " in " G " ( this is sometimes called composite orders, e . g . the Klein four-group does not have an element of order four ).
4.
In the "'Trout Route "'test, the player must follow a path based on the progressive numerical relationship given ( i . e . + 2,-3, etc . ) "'Travelling "'requires the player to memorize a route of arrows, while "'Ascending "'has the player determining the order of a group of objects from least to most in amount . "'Bouncing Ball "'has the player determining as quick as possible which ball bounces highest.
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