List questions from finite-groups

Published on 21 Mar 2026 - 18:07

707

Views

Is there any formula to calculate the number of normal subgroups of $S_n$?

Published on 28 Mar 2026 - 1:15

344

Views

Can we calculate the order of $\hom (G,G')$ in terms of $|G| $ and $ |G'|$ , when $G,G'$ are finite abelian groups?

Published on 29 Mar 2026 - 7:00

637

Views

Clarifying a proof of a corollary of Lagrange's Theorem

Published on 11 Oct 2014 - 22:58

52

Views

Abelian subgroup of $S_n$ such that $g(a)=b$ for all $a,b \in [1,n]$

Published on 11 Oct 2014 - 23:24

80

Views

Description of an abelian group

Published on 29 Mar 2026 - 8:44

126

Views

Order of the group.

Published on 29 Mar 2026 - 6:55

2.2k

Views

How many distinct subgroups of order 10 are there in a non-cyclic abelian group of order 20?

Published on 29 Mar 2026 - 7:00

90

Views

Can a chain subcomplex be a direct summand but it's 'origin' is not? (group homology)

Published on 03 Apr 2026 - 9:12

159

Views

Show that the order of $G$ cannot be divisible by $7$.

Published on 28 Mar 2026 - 1:18

3k

Views

Find order of group given by generators and relations

Published on 14 Oct 2014 - 5:48

127

Views

Finite Group and normal Subgroup

Published on 14 Oct 2014 - 9:09

396

Views

In a non abelian group of order $p{^4}$ Quotient of center by commutator is abelian

Published on 14 Oct 2014 - 11:33

68

Views

Order of groups and elements

Published on 14 Oct 2014 - 12:27

778

Views

Finding Semi-direct products of Z/3Z and Z/7Z

Published on 25 Mar 2026 - 15:51

List Question

|ab|=lcm(|a|,|b|) in an abelian group

Is there any formula to calculate the number of normal subgroups of $S_n$?

Can we calculate the order of $\hom (G,G')$ in terms of $|G| $ and $ |G'|$ , when $G,G'$ are finite abelian groups?

Clarifying a proof of a corollary of Lagrange's Theorem

Abelian subgroup of $S_n$ such that $g(a)=b$ for all $a,b \in [1,n]$

Description of an abelian group

Order of the group.

How many distinct subgroups of order 10 are there in a non-cyclic abelian group of order 20?

Can a chain subcomplex be a direct summand but it's 'origin' is not? (group homology)

Show that the order of $G$ cannot be divisible by $7$.

Find order of group given by generators and relations

Finite Group and normal Subgroup

In a non abelian group of order $p{^4}$ Quotient of center by commutator is abelian

Order of groups and elements

Finding Semi-direct products of Z/3Z and Z/7Z

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