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You are not logged in. #1 20070526 01:41:16
Simple GroupsIs there any discernable property of simple groups that can be used to quickly verify whether a group is simple other than to blast through trying to find normal subgroups? #2 20070526 03:37:38
Re: Simple GroupsIt will become much easier to tell if a group is simple or not once you learn Sylowtheory. Sylowtheory ("seelow theory") is really just an awesomely powerful theorem, and it's primary use is to prove whether or not all groups of a certain order are simple (at least in my experience). "In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..." 