List questions from simple-groups

Published on 27 Mar 2026 - 21:54

213

Views

No simple group of order 720, again

Published on 20 Oct 2020 - 10:16

99

Views

Why is $PSL(2,F)$ such an important group?

Published on 25 Mar 2026 - 11:19

161

Views

Simple group of order 10000

Published on 29 Oct 2020 - 16:49

57

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Is there any systematic way to look for finite non-abelian simple groups? or any clever idea which makes them easier to find?

Published on 01 Nov 2020 - 17:43

609

Views

Abelian subgroup of prime power index

Published on 02 Nov 2020 - 21:05

56

Views

Normality of product of normal subgroups inside composition series

Published on 03 Nov 2020 - 17:11

73

Views

Is the composition series $1 \leq A_3 \leq S_3$ in $S_3$?

Published on 13 Nov 2020 - 20:32

62

Views

Can $PSL(2, p)$ be a subgroup of $PSL(2,q)$ if $p$ doesn't divide $q$?

Published on 18 Nov 2020 - 6:26

525

Views

Prove that any group of order $27$ is not simple

Published on 28 Mar 2026 - 1:07

24

Views

Regarding finite simple groups of type $^2D_n$

Published on 25 Mar 2026 - 13:54

254

Views

Calculate the number of order $p$ elements in a group (using Sylow)

Published on 30 Nov 2020 - 9:50

106

Views

Are all normality-preserving homomorphisms/endomorphisms normal?

Published on 08 Dec 2020 - 0:23

177

Views

Struggling to understand proof, there is no simple group of order $525$

Published on 10 Dec 2020 - 22:47

535

Views

Suppose $G$ is a finite simple group whose order is divisible by $p^2$. Show there is no subgroup with index $p$.

Published on 18 Dec 2020 - 1:21

List Question

On a minimal nonsolvable group

No simple group of order 720, again

Why is $PSL(2,F)$ such an important group?

Simple group of order 10000

Is there any systematic way to look for finite non-abelian simple groups? or any clever idea which makes them easier to find?

Abelian subgroup of prime power index

Normality of product of normal subgroups inside composition series

Is the composition series $1 \leq A_3 \leq S_3$ in $S_3$?

Can $PSL(2, p)$ be a subgroup of $PSL(2,q)$ if $p$ doesn't divide $q$?

Prove that any group of order $27$ is not simple

Regarding finite simple groups of type $^2D_n$

Calculate the number of order $p$ elements in a group (using Sylow)

Are all normality-preserving homomorphisms/endomorphisms normal?

Struggling to understand proof, there is no simple group of order $525$

Suppose $G$ is a finite simple group whose order is divisible by $p^2$. Show there is no subgroup with index $p$.

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