2. Finite, abelian (and additive), not isomorphic to Z₂ or Z2 x Z2, and also for every element a, a+a=0.

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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For homework we have to find a finite abelian group that satisfies the condition that a+a=0.

I know for a fact that Cn (Cyclic group) is an example of a finite abelian group but I don't really understand the condition a+a=0? Can someone please explain? I appreciate all the help, thank you!!

2. Finite, abelian (and additive), not isomorphic to Z2 or Z2 × Z2, and also for every element
a,
a+a=0.
Transcribed Image Text:2. Finite, abelian (and additive), not isomorphic to Z2 or Z2 × Z2, and also for every element a, a+a=0.
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