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Results tagged with big-list
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user 6503
Questions designed to generate a "big list" of certain results, examples, conjectures, etc. via many individual answers, each contributing one or a few instances. Such a question should typically be in Community Wiki mode (CW); after asking, please, flag for moderators attention requesting the question to be made CW.
7
votes
books well-motivated with explicit examples
Trees by J-P Serre. The first half is pretty much all theory, but in the second he looks at the explicit example of $SL_2$.
72
votes
Examples of eventual counterexamples
In reference to the Prime Number Theorem (then Conjecture) both Gauss and Riemann further conjectured that $\pi(n) < \operatorname{Li}(n)$ (where $\pi(n)$ is the number of primes from $1$ to $n$ and $ …
3
votes
Results from abstract algebra which look wrong (but are true)
That there exist finitely presentable non-Hopfian groups. [I still remember my shock when I was first learned this result!]
A group G is Hopfian if every surjective homomorphism $\phi:G\to G$ is in fa …