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In math, group theory is a branch of what is called "abstract algebra" that study special sets of objects called "groups".
Example: you may have studied the following facts about adding numbers.
1.) Every number has a negative of itself. (for any x there is a -x)
2.) Zero added to any number leaves that number the same. (x+0=x)
3.) No matter where you put the parentheses, addition turns out the same. For example, (x+y) +z = x+(y+z)
Therefore, numbers -- combined with the operation of addition -- form a "group" because of these three attributes.
If you learn group theory, you will discover that not just numbers obey these properties. Things like geometric symmetries, permutations, and matrices can all be described as belonging to groups.
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What is an alternating group?
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When did Galois write about group theory?
Evariste Galois lived from 1811 till 1832. He died in a duel in Mary of 1832. He did not study mathematics at all until 1827 and appears to have concentrated on group theory in 1832.
What is the study of math?
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What is the proper geometry for CO2?
Carbon dioxide is linear, with the carbon in the middle. If I remember my group theory properly, that's Dinfinityv. But no promises on that.
