A group is a set, G with an operation(group law of G) [...] that combines any two elements a and b to form another element, denoted a • b or ab. The set and operation, (G, •) satisfies the group axioms
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A group is a set, G with an operation(group law of G) [...] that combines any two elements a and b to form another element, denoted a • b or ab. The set and operation, (G, •) satisfies the group axioms
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Group (mathematics) - Wikipedia y on numerous bizarre coincidences to exist. The axioms for groups give no obvious hint that anything like this exists. Richard Borcherds in Mathematicians: An Outer View of the Inner World [4] <span>A group is a set, G, together with an operation • (called the group law of G) that combines any two elements a and b to form another element, denoted a • b or ab. To qualify as a group, the set and operation, (G, •), must satisfy four requirements known as the group axioms:[5] Closure For all a, b in G, the result of the operation, a • b, is also in G.b[›] Associativity For all a, b and c in G, (a • b) • c = a • (b • c). Identity element There exists an e
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