Okay, just to make sure I have this straight: Given a group G and an element g of G The "stabilizer" of g is the subset such that for all . And the stabilizer of g is a subgroup of G, right? Thanks! -Dan
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Originally Posted by topsquark Okay, just to make sure I have this straight: Given a group G and an element g of G The "stabilizer" of g is the subset such that for all . And the stabilizer of g is a subgroup of G, right? Thanks! -Dan You got the elements of the group confused with elements of the set. Let be a a group, and let be a set. Let act on . Given an element the stabalizer, , is the set . And yes, the stabalizer is a subgroup. I can give some examples if you want to.
Originally Posted by ThePerfectHacker You got the elements of the group confused with elements of the set. Let be a a group, and let be a set. Let act on . Given an element the stabalizer, , is the set . And yes, the stabalizer is a subgroup. I can give some examples if you want to. Ahhh! The lightbulb just went on. I think I've got it now. I'll play around with it a bit and let you know if I need more. Thanks! -Dan
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