Question

Mysterious Characterization of $A_5$ inside $S_5$

score 442 · Answer 1 · 2026-04-15 00:21:54

442

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Mysterious Characterization of $A_5$ inside $S_5$

Published on 15 Apr 2026 - 0:21

score 73 · Answer 2 · 2026-04-12 07:11:35

73

Views

Finite group generated by two elements; what can we say about another element?

Published on 12 Apr 2026 - 7:11

score 177 · Answer 3 · 2026-04-29 12:53:18

177

Views

$\mathbb{R}G$-modules with the same characters

Published on 29 Apr 2026 - 12:53

score 431 · Answer 4 · 2026-04-15 05:30:15

431

Views

The group generated by a and b is the same as the group generated by ab and b

Published on 15 Apr 2026 - 5:30

score 142 · Answer 5 · 2026-04-29 12:42:38

142

Views

Lower bound for the order of a non-solvable primitive group of degree n

Published on 29 Apr 2026 - 12:42

score 116 · Answer 6 · 2026-05-10 11:21:50

116

Views

Two abelian groups $|G| =n $ and $|H|=n$ are isomorphic if and only if they have same number of elements of order $m$,$1\le m\le n$

Published on 10 May 2026 - 11:21

score 204 · Answer 7 · 2026-05-04 08:58:28

204

Views

Finite groups with 15 or 16 conjugacy classes

Published on 04 May 2026 - 8:58

score 176 · Answer 8 · 2026-04-25 21:54:35

176

Views

How order of an element and gcd related for abelian groups

Published on 25 Apr 2026 - 21:54

score 288 · Answer 9 · 2026-04-15 05:26:52

288

Views

Is there a neat way to see that $C_3$ is not a quotient of $S_n$?

Published on 15 Apr 2026 - 5:26

score 48 · Answer 10 · 2026-04-17 08:36:46

48

Views

$Z(G)O_p(G) = Z_{p'}(G)O_p(G)$?

Published on 17 Apr 2026 - 8:36

score 548 · Answer 11 · 2026-05-05 08:59:54

548

Views

Group structure on the dual group of a finite group

Published on 05 May 2026 - 8:59

score 50 · Answer 12 · 2026-04-29 12:47:42

50

Views

Lie groups with SU(12) as a subgroup

Published on 29 Apr 2026 - 12:47

score 2.7k · Answer 13 · 2026-04-16 07:37:03

2.7k

Views

True or False: Let $G, H$ be finite groups. Then any subgroup of $G × H$ is equal to $A × B$ for some subgroups $A<G$ and $B<H$.(TIFR GS2018)

Published on 16 Apr 2026 - 7:37

score 322 · Answer 14 · 2026-04-29 12:42:46

322

Views

Cannot follow proof that refinement of solvable series is also solvable

Published on 29 Apr 2026 - 12:42

score 101 · Answer 15 · 2026-05-05 04:11:11

101

Views

Some conditions on a finite non-abelian $2$-group

Published on 05 May 2026 - 4:11

List Question

Mysterious Characterization of $A_5$ inside $S_5$

Finite group generated by two elements; what can we say about another element?

$\mathbb{R}G$-modules with the same characters

The group generated by a and b is the same as the group generated by ab and b

Lower bound for the order of a non-solvable primitive group of degree n

Two abelian groups $|G| =n $ and $|H|=n$ are isomorphic if and only if they have same number of elements of order $m$,$1\le m\le n$

Finite groups with 15 or 16 conjugacy classes

How order of an element and gcd related for abelian groups

Is there a neat way to see that $C_3$ is not a quotient of $S_n$?

$Z(G)O_p(G) = Z_{p'}(G)O_p(G)$?

Group structure on the dual group of a finite group

Lie groups with SU(12) as a subgroup

True or False: Let $G, H$ be finite groups. Then any subgroup of $G × H$ is equal to $A × B$ for some subgroups $A<G$ and $B<H$.(TIFR GS2018)

Cannot follow proof that refinement of solvable series is also solvable

Some conditions on a finite non-abelian $2$-group

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