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Mathematics
Quick fact
A subgroup N of G is normal if and only if it is the kernel of some group homomorphism from G to another group. This ties the 'ideals' of group theory directly to the structure of homomorphisms.
Why this is interesting
You know how you can divide numbers to get smaller, simpler ones? In group theory, there's a way to 'divide' a group by a subgroup—but only if the subgroup is special enough. What makes it special?
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Subjects · study & training · careers
Choose something you are considering. FACTREE will give you a clear picture of what it contains, how its main parts connect and where it could lead.
This private catalogue connects 31 subjects, study routes and careers across six broad areas. Public Maps and learner routes remain off.
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See what programming involves, how its main areas connect, and whether you find the knowledge interesting enough to take it further.
Structuring the Programming Map…
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