I am curious as to why someone would pose a question about an advanced topic like this on this site, when a quick search for "Tarski monster group" brought up this:
http://en.wikipedia.org/wiki/Tarski_monster_group
To chase up the reference there you need access to a good college or university library.
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The set of integers, under addition.
It is an extreme in a group of numbers.They are much smaller or bigger than the group of numbers. For example, in: 5 6 8 7 5 4 15 15 is obviously an outlier as it is very much higher than the rest of the numbers..
A number is an exact multiple of each of a group of numbers. For example, 15 and 30 are common multiple of 3 and 5.
Let's think this through so you can understand it.Color is the first word - hopefully you understand what color means. Chartreuse is one color in the color spectrum. So we're going from a general group of all colors to a very specific example of one color.The next set is Flower - hopefully you understand what a flower is. In the first group we went from general group to very specific example. So of course you would now name a very specific flower like a rose or a violet or a petunia.
If at a competition group "a" defeats group "b", and group "b" defeats group "c" then group "a" will have to defeat group "C"