List questions from group-theory

Published on 05 May 2026 - 8:59

123

Views

Trying to show that if $gHg^{-1} \leq H$ then $H \leq g^{-1}Hg$

Published on 17 Apr 2026 - 6:38

95

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When is $G^n$ a subgroup of $G$?

Published on 16 Apr 2026 - 2:58

97

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If a proper subgroup of maximal order is solvable and normal, then the group is solvable. Generalization.

Published on 10 May 2026 - 8:25

161

Views

Mastering my "prove by induction" skills.

Published on 10 May 2026 - 14:05

78

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Do the results hold for isomorphisms of groups?

Published on 10 May 2026 - 15:51

331

Views

Computing an explicit 2-cocycle

Published on 13 Apr 2026 - 18:33

120

Views

Property of the additive group of reals

Published on 05 May 2026 - 9:27

66

Views

Regarding action of a group factoring through

Published on 29 Apr 2026 - 12:42

746

Views

Abelian Groups and Homomorphic Images of Free Abelian Groups

Published on 29 Apr 2026 - 12:44

50

Views

Lie groups with SU(12) as a subgroup

Published on 29 Apr 2026 - 12:47

380

Views

Relation between characters of symmetric group and general linear group

Published on 06 May 2026 - 5:24

44

Views

Abelian group - set $G$ of all complex roots of $1$, of all possible orders

Published on 10 May 2026 - 13:27

183

Views

Up to what level can associativity be guaranteed?

Published on 22 Apr 2026 - 15:18

68

Views

Conjugacy class of an element in $A_n$

Published on 10 May 2026 - 11:20

List Question

Group structure on the dual group of a finite group

Trying to show that if $gHg^{-1} \leq H$ then $H \leq g^{-1}Hg$

When is $G^n$ a subgroup of $G$?

If a proper subgroup of maximal order is solvable and normal, then the group is solvable. Generalization.

Mastering my "prove by induction" skills.

Do the results hold for isomorphisms of groups?

Computing an explicit 2-cocycle

Property of the additive group of reals

Regarding action of a group factoring through

Abelian Groups and Homomorphic Images of Free Abelian Groups

Lie groups with SU(12) as a subgroup

Relation between characters of symmetric group and general linear group

Abelian group - set $G$ of all complex roots of $1$, of all possible orders

Up to what level can associativity be guaranteed?

Conjugacy class of an element in $A_n$

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