Nicky Hekster
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19,019
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 40 Is $n! + 1$ often a prime? 22 A group with five elements is Abelian 19 System of nonlinear equations that leads to cubic equation 13 A group of order 561 is cyclic. 11 How to find the antiderivative of $\frac{1}{x^2(1+x^2)}$?

### Reputation (19,019)

 +10 Sylow $p$-subgroup of a finite group +10 Sylow subgroup related +10 If $a$ has order $p$ and $aPa^{-1}=P$ then $a\in P$ +10 Sylow subgroup of a product of subgroups

### Questions (16)

 151 How can a piece of A4 paper be folded in exactly three equal parts? 13 Generalization of index 2 subgroups are normal 13 Subrings of finite index and units 11 Applications of the fact that a group is never the union of two of its proper subgroups 9 Ludwig Sylow 12 december 1832 [closed]

### Tags (123)

 1k group-theory × 543 54 algebra-precalculus × 21 638 abstract-algebra × 343 51 abelian-groups × 26 392 finite-groups × 185 46 permutations × 15 115 sylow-theory × 81 44 prime-numbers × 4 67 elementary-number-theory × 18 41 factorial × 2

### Accounts (2)

 Mathematics 19,019 rep 51939 MathOverflow 151 rep 16