Finitary alternating group of countable degree
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The finitary alternating group of countable degree is the finitary alternating group over a set of countable size. In other words, it is the subgroup of the symmetric group of countable degree comprising the even permutations.
|simple group||Yes||The group is an infinite simple non-abelian group, because finitary alternating groups are simple|
|locally finite group||Yes|
|finitely generated group||No|