Abstract

In mathematics and abstract algebra, Group theory studies the algebraic structures known as groups. The concept of group is central to abstract algebra. Other well-known algebraic structure, such as rings, fields and vector spaces, can all be seen as groups endowed with additional operations and axioms. Modern group theory an active mathematical discipline-studies groups in their own right. To explore groups, mathematicians have devised various notions to break group into smaller, better understandable pieces, such as subgroups, quotient groups and simple groups.

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References

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