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mathematical historyQuanta Magazine
•79% Informative
The term “group” in a mathematical context was coined in 1830 by Évariste Galois , a French prodigy, just 18 years old at the time.
A group is a set, or collection of objects, together with an operation that takes in two objects and outputs a third.
Groups must satisfy four rules: closure, associativity, identity and inverse.
The identity element always forms a subgroup by itself, called the trivial subgroup.
The group Zn is simple only when n is prime - the multiples of 2 and 3 , for instance, form normal subgroups in Z6 .
The largest sporadic group, aptly called the monster group, was discovered in 1973 .
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