Question

Mysterious Characterization of $A_5$ inside $S_5$

score 440 · Answer 1 · 2026-03-22 18:01:40

440

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Mysterious Characterization of $A_5$ inside $S_5$

Published on 22 Mar 2026 - 18:01

score 70 · Answer 2 · 2018-01-23 18:24:54

70

Views

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

Published on 23 Jan 2018 - 18:24

score 172 · Answer 3 · 2026-03-17 10:28:29

172

Views

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

Published on 17 Mar 2026 - 10:28

score 428 · Answer 4 · 2018-01-23 22:52:05

428

Views

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

Published on 23 Jan 2018 - 22:52

score 132 · Answer 5 · 2026-03-22 12:36:15

132

Views

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

Published on 22 Mar 2026 - 12:36

score 107 · Answer 6 · 2026-03-19 23:14:07

107

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 19 Mar 2026 - 23:14

score 195 · Answer 7 · 2026-03-20 09:28:19

195

Views

Finite groups with 15 or 16 conjugacy classes

Published on 20 Mar 2026 - 9:28

score 170 · Answer 8 · 2026-03-17 19:10:43

170

Views

How order of an element and gcd related for abelian groups

Published on 17 Mar 2026 - 19:10

score 285 · Answer 9 · 2018-01-25 23:03:30

285

Views

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

Published on 25 Jan 2018 - 23:03

score 45 · Answer 10 · 2026-03-22 09:49:27

45

Views

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

Published on 22 Mar 2026 - 9:49

score 540 · Answer 11 · 2026-03-21 17:52:30

540

Views

Group structure on the dual group of a finite group

Published on 21 Mar 2026 - 17:52

score 41 · Answer 12 · 2026-03-20 18:52:46

41

Views

Lie groups with SU(12) as a subgroup

Published on 20 Mar 2026 - 18:52

score 2.7k · Answer 13 · 2018-01-29 05:45:27

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 29 Jan 2018 - 5:45

score 315 · Answer 14 · 2026-03-20 09:39:26

315

Views

Cannot follow proof that refinement of solvable series is also solvable

Published on 20 Mar 2026 - 9:39

score 95 · Answer 15 · 2026-03-17 12:13:13

95

Views

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

Published on 17 Mar 2026 - 12:13

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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