List questions from symmetric-groups

Published on 26 Mar 2026 - 2:56

192

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Order of the center of $Sym(n)$

Published on 17 Nov 2018 - 8:26

235

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Suppose a pizza has 4 slices, and each slice can be topped with either peppers, onions, or both. How many different pizzas can be made?

Published on 17 Nov 2018 - 18:08

783

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Schur-Weyl duality for qubits

Published on 25 Mar 2026 - 4:35

73

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Power of a r-cycle

Published on 19 Nov 2018 - 23:21

716

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Lie algebra generated by elements of the symmetric group $S_N$

Published on 20 Nov 2018 - 3:06

163

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Rotational symmetries of a double tetrahedron

Published on 20 Nov 2018 - 22:52

1.7k

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Symmetry group of equilateral triangle

Published on 21 Nov 2018 - 9:17

431

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Number of one one functions with no fixed points.

Published on 23 Nov 2018 - 16:07

297

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If $\operatorname{Sym}_X \simeq \operatorname{Sym}_Y$ then there is bijection from $X \to Y$

Published on 24 Nov 2018 - 16:17

123

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Group actions and orbits

Published on 26 Mar 2026 - 2:52

176

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Equational laws holding in the symmetric group $S_3$

Published on 29 Nov 2018 - 14:00

117

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Express (1,...,n) as a product of 2-cycles

Published on 25 Mar 2026 - 6:05

48

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How many $\alpha \in S_n$ are there with $\alpha^2 = 1$?

Published on 30 Nov 2018 - 21:40

823

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$7$ Sylow subgroup of $A_{20}$ is not normal and $7$ Sylow subgroup of $S_{20}$ contained in $A_{20}$.

Published on 01 Dec 2018 - 12:03

List Question

number of orbits of $A_5$ acting by left multiplication in $S_5$

Order of the center of $Sym(n)$

Suppose a pizza has 4 slices, and each slice can be topped with either peppers, onions, or both. How many different pizzas can be made?

Schur-Weyl duality for qubits

Power of a r-cycle

Lie algebra generated by elements of the symmetric group $S_N$

Rotational symmetries of a double tetrahedron

Symmetry group of equilateral triangle

Number of one one functions with no fixed points.

If $\operatorname{Sym}_X \simeq \operatorname{Sym}_Y$ then there is bijection from $X \to Y$

Group actions and orbits

Equational laws holding in the symmetric group $S_3$

Express (1,...,n) as a product of 2-cycles

How many $\alpha \in S_n$ are there with $\alpha^2 = 1$?

$7$ Sylow subgroup of $A_{20}$ is not normal and $7$ Sylow subgroup of $S_{20}$ contained in $A_{20}$.

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