New posts in permutations

$S_4$ does not have a normal subgroup of order $8$

abstract-algebra group-theory permutations

How many ways can a natural number n be expressed as a sum of one or more positive integers, taking order into account?

combinatorics permutations combinations

Find the derived subgroup of $A_4$

group-theory permutations symmetric-groups

Why Composition and Dihedral Group have reverse order of operation?

group-theory permutations dihedral-groups

Covering pairs with permutations

combinatorics graph-theory permutations hamiltonian-path latin-square

Let $a$ be a p-cycle in $S_p$, and let $b$ be a transposition in $S_p$. Show $S_p$ is generated by $a$ and $b$.

abstract-algebra group-theory permutations galois-theory symmetric-groups

order of transpositions making up a permutation

abstract-algebra permutations

Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$

elementary-set-theory permutations

arrangement of $n$ oranges and $n$ apples around a circle

combinatorics permutations combinations

Is any permutation the product of two involutions?

combinatorics permutations

If permutation matrices are conjugate in $\operatorname{GL}(n,\mathbb{F})$ are the corresponding permutations conjugate in the symmetric group?

linear-algebra group-theory permutations permutation-matrices

Prove that if the identity is written as the product of $r$ transpositions, then $r$ is an even number

permutations alternative-proof

How to see that the polynomial $4x^2 - 3x^7$ is a permutation of the elements of $\mathbb{Z}/{11}\mathbb{Z}$

abstract-algebra group-theory polynomials permutations

What's the probability that a given permutation has exactly $k$ fixed points. [duplicate]

probability combinatorics permutations derangements

Number of ways of forming 4 letter words using the letters of the word RAMANA

combinatorics permutations

every permutation is either even or odd,but not both

Number of 'hokage' words

combinatorics permutations recursion

Rolling $2$ dice: NOT using $36$ as the base?

probability combinatorics permutations dice

How many different words can be formed using all the letters of the word GOOGOLPLEX?

combinatorics permutations solution-verification multinomial-coefficients

Can someone explain how the Schreier-Sims Algorithms works on a permutation group with a simple example?

group-theory permutations computational-algebra