Question

Bound on the height of the subgroup lattice

score 103 · Answer 1 · 2019-08-13 01:33:33

103

Views

Bound on the height of the subgroup lattice

Published on 13 Aug 2019 - 1:33

score 413 · Answer 2 · 2019-08-13 05:06:52

413

Views

Subgroups of $G\times G$ that are isomorphic with $G$

Published on 13 Aug 2019 - 5:06

score 54 · Answer 3 · 2019-08-13 15:12:21

54

Views

For any $n\geq 1$, there exists $m\geq 1$ such that any finite group $G$ with $|G|>m$ has more than $n$ conjugacy classes

Published on 13 Aug 2019 - 15:12

score 91 · Answer 4 · 2026-03-26 02:51:25

91

Views

How to compute the stabilizer subgroup of a partition with GAP?

Published on 26 Mar 2026 - 2:51

score 421 · Answer 5 · 2026-03-27 02:35:27

421

Views

Does there exist an injective homomorphism $S_6 \to S_5 \times S_5?$

Published on 27 Mar 2026 - 2:35

score 245 · Answer 6 · 2019-08-15 05:43:06

245

Views

Is a (finite) group determined by its subgroups?

Published on 15 Aug 2019 - 5:43

score 303 · Answer 7 · 2026-03-28 05:23:14

303

Views

Are the units of a ring $\Bbb {Z}_n, +, •$ also the generators of the cyclic group $\Bbb{Z}_n, + $

Published on 28 Mar 2026 - 5:23

score 34 · Answer 8 · 2019-08-16 01:13:02

34

Views

Finding a formula for the number of unordered commutative pairs

Published on 16 Aug 2019 - 1:13

score 378 · Answer 9 · 2019-08-16 18:57:36

378

Views

Group where for each $d \ \big|\ |G|$ there is unique subgroup of order $d$

Published on 16 Aug 2019 - 18:57

score 47 · Answer 10 · 2019-08-17 17:44:40

47

Views

Show $H$ is normal under some conditions

Published on 17 Aug 2019 - 17:44

score 61 · Answer 11 · 2019-08-17 22:09:22

61

Views

A finite group with a property regarding divisors of its order is cyclic

Published on 17 Aug 2019 - 22:09

score 120 · Answer 12 · 2019-08-18 12:01:29

120

Views

Prove that $G$ has at most $2$ normal subgroups

Published on 18 Aug 2019 - 12:01

score 4.8k · Answer 13 · 2019-08-18 15:37:58

4.8k

Views

Non abelian finite group of order $55$

Published on 18 Aug 2019 - 15:37

score 292 · Answer 14 · 2019-08-18 17:46:47

292

Views

Is this a valid approach to determine group types of small orders?

Published on 18 Aug 2019 - 17:46

score 178 · Answer 15 · 2026-03-28 05:23:09

178

Views

If each $G_i$ is cyclic, then $G_1 \times G_2 \times ... \times G_n$ is cyclic if, and only if, $\gcd(|G_i||G_j|) = 1$ whenever $i \ne j$

Published on 28 Mar 2026 - 5:23

List Question

Bound on the height of the subgroup lattice

Subgroups of $G\times G$ that are isomorphic with $G$

For any $n\geq 1$, there exists $m\geq 1$ such that any finite group $G$ with $|G|>m$ has more than $n$ conjugacy classes

How to compute the stabilizer subgroup of a partition with GAP?

Does there exist an injective homomorphism $S_6 \to S_5 \times S_5?$

Is a (finite) group determined by its subgroups?

Are the units of a ring $\Bbb {Z}_n, +, •$ also the generators of the cyclic group $\Bbb{Z}_n, + $

Finding a formula for the number of unordered commutative pairs

Group where for each $d \ \big|\ |G|$ there is unique subgroup of order $d$

Show $H$ is normal under some conditions

A finite group with a property regarding divisors of its order is cyclic

Prove that $G$ has at most $2$ normal subgroups

Non abelian finite group of order $55$

Is this a valid approach to determine group types of small orders?

If each $G_i$ is cyclic, then $G_1 \times G_2 \times ... \times G_n$ is cyclic if, and only if, $\gcd(|G_i||G_j|) = 1$ whenever $i \ne j$

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