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Tag Archives: abelian groups
Intermediate Group Theory (6)
In this post, we’ll only focus on additive abelian groups. By additive, we mean the underlying group operation is denoted by +. The identity and inverse of x are denoted by 0 and –x respectively. Similarly, 2x+3y refers to x+x+y+y+y. Etc … Continue reading
Posted in Notes
Tagged abelian groups, advanced, direct products, direct sums, free groups, generated groups, universal properties
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Casual Introduction to Group Theory (2)
Axioms of Group Theory [ This article approximately corresponds to chapter II of the earlier group theory blog. ] Group theory happens because mathematicians noticed that instead of looking at individual symmetries of an object, it’s far better to take … Continue reading
Posted in Notes
Tagged abelian groups, axioms, canonical maps, group orders, group products, group theory, intermediate, isomorphisms
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