Question

Is a group with order $3^3\cdot 5\cdot 7$ possible?

score 954 · Answer 1 · 2026-03-25 09:37:00

954

Views

Is a group with order $3^3\cdot 5\cdot 7$ possible?

Published on 25 Mar 2026 - 9:37

score 423 · Answer 2 · 2026-03-25 01:40:05

423

Views

Minimum size of index of a proper subgroup of a finite, non-abelian simple group $G$

Published on 25 Mar 2026 - 1:40

score 640 · Answer 3 · 2018-11-10 21:08:09

640

Views

Minimum number of conjugacy classes of a finite non-abelian group

Published on 10 Nov 2018 - 21:08

score 63 · Answer 4 · 2018-11-11 09:21:43

63

Views

Simple groups with normal generating sets

Published on 11 Nov 2018 - 9:21

score 130 · Answer 5 · 2026-03-25 06:12:52

130

Views

Relationship between Frattini subgroup and the first Agemo subgroup of a prime-power order group

Published on 25 Mar 2026 - 6:12

score 97 · Answer 6 · 2026-03-26 17:51:31

97

Views

Intersection of normal subgroups is normal

Published on 26 Mar 2026 - 17:51

score 63 · Answer 7 · 2026-03-26 06:31:52

63

Views

Why is $\phi_1: Z_{16} \rightarrow Z_{16}$ a homomorphism but $\phi_2: Z_{16} \rightarrow Z_{24}$ is not?

Published on 26 Mar 2026 - 6:31

score 705 · Answer 8 · 2026-03-25 03:52:19

705

Views

Longest element of Weyl Group for $G_2$

Published on 25 Mar 2026 - 3:52

score 238 · Answer 9 · 2026-03-26 03:13:30

238

Views

If $G$ is a finite group of odd order, show there is only one homomorphism between $G$ and $\mathbb{R}^{\times}$ which is the trivial one.

Published on 26 Mar 2026 - 3:13

score 183 · Answer 10 · 2018-11-13 06:52:20

183

Views

Hall subgroup that has normal complement

Published on 13 Nov 2018 - 6:52

score 629 · Answer 11 · 2026-03-25 03:07:15

629

Views

Odd order groups with order less than 1000 are solvable

Published on 25 Mar 2026 - 3:07

score 93 · Answer 12 · 2026-03-25 09:38:03

93

Views

proving that a group of order 60 is simple using homomorphisms.

Published on 25 Mar 2026 - 9:38

score 1.3k · Answer 13 · 2026-03-25 11:16:07

1.3k

Views

How big must the union of a group's Sylow p-subgroups be?

Published on 25 Mar 2026 - 11:16

score 159 · Answer 14 · 2018-11-15 04:29:49

159

Views

Complement of a normal subgroup is single conjugacy class

Published on 15 Nov 2018 - 4:29

score 203 · Answer 15 · 2018-11-15 08:43:45

203

Views

How to find number of homomorphisms between z8 and s4?

Published on 15 Nov 2018 - 8:43

List Question

Is a group with order $3^3\cdot 5\cdot 7$ possible?

Minimum size of index of a proper subgroup of a finite, non-abelian simple group $G$

Minimum number of conjugacy classes of a finite non-abelian group

Simple groups with normal generating sets

Relationship between Frattini subgroup and the first Agemo subgroup of a prime-power order group

Intersection of normal subgroups is normal

Why is $\phi_1: Z_{16} \rightarrow Z_{16}$ a homomorphism but $\phi_2: Z_{16} \rightarrow Z_{24}$ is not?

Longest element of Weyl Group for $G_2$

If $G$ is a finite group of odd order, show there is only one homomorphism between $G$ and $\mathbb{R}^{\times}$ which is the trivial one.

Hall subgroup that has normal complement

Odd order groups with order less than 1000 are solvable

proving that a group of order 60 is simple using homomorphisms.

How big must the union of a group's Sylow p-subgroups be?

Complement of a normal subgroup is single conjugacy class

How to find number of homomorphisms between z8 and s4?

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