Isomorphisms of Cyclic Groups. Some Properties of Cyclic Groups

Dariusz Surowik

Warsaw University, Bialystok

Summary.

Some theorems and properties of cyclic groups have been proved with special regard to isomorphisms of these groups. Among other things it has been proved that an arbitrary cyclic group is isomorphic with groups of integers with addition or group of integers with addition modulo $m$. Moreover, it has been proved that two arbitrary cyclic groups of the same order are isomorphic and that the class of cyclic groups is closed in consideration of homomorphism images. Some other properties of groups of this type have been proved too.

MML Identifier: GR_CY_2

Contents (PDF format)

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