Abstract Algebra/Group Theory/Group/Definition of a Group
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Definition of a Group
Firstly, a Group is
- a non-empty set, with a binary operation.
Secondly, if G is a Group, and the binary operation of Group G is , then
From now on, eG always means identity of group G.
Order of a Group
- Order of group G, o(G), is the number of distinct elements in G