Template:Basic notions in group theory
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| Basic notions in group theory | ||||
| category of groups | ||||
|---|---|---|---|---|
| subgroups, normal subgroups | ||||
| quotient groups | ||||
| group homomorphisms, kernel, image | ||||
| (semi-)direct product, direct sum | ||||
| types of groups | ||||
| finite, infinite | ||||
| discrete, continuous | ||||
| multiplicative, additive | ||||
| abelian, cyclic, simple, solvable | ||||
