Question

Construct a group that has exactly 5 elements of order 4.

score 179 · Answer 1 · 2019-02-09 19:27:52

179

Views

Construct a group that has exactly 5 elements of order 4.

Published on 09 Feb 2019 - 19:27

score 41 · Answer 2 · 2026-03-25 20:41:51

41

Views

Quick proof that $SL_2(\mathbb Z/n\mathbb Z)\cong \oplus_{p\mid n}SL_2(\mathbb Z/p^{e_p}\mathbb Z)$

Published on 25 Mar 2026 - 20:41

score 106 · Answer 3 · 2026-03-25 19:05:48

106

Views

How do I know that $\mathbb{Z}_{175}$ is not an additional subgroup of order $175$?

Published on 25 Mar 2026 - 19:05

score 102 · Answer 4 · 2019-02-10 12:28:49

102

Views

Elementary proof that centre of finite $p$ group is not trivial

Published on 10 Feb 2019 - 12:28

score 51 · Answer 5 · 2026-03-25 09:28:13

51

Views

Calculate the character degrees of a finite group $G$.

Published on 25 Mar 2026 - 9:28

score 44 · Answer 6 · 2026-03-29 19:11:19

44

Views

Show that both side of the Plancherel formula are linear in $f$.

Published on 29 Mar 2026 - 19:11

score 1.3k · Answer 7 · 2026-03-25 09:27:02

1.3k

Views

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2$

Published on 25 Mar 2026 - 9:27

score 274 · Answer 8 · 2026-03-22 16:16:26

274

Views

Is it true, that for any two non-isomorphic finite groups $G$ and $H$ there exists such a group word $w$, that $|V_w(G)| \neq |V_w(H)|$?

Published on 22 Mar 2026 - 16:16

score 55 · Answer 9 · 2026-03-23 03:40:38

55

Views

Subsets of $\mathbb Z/n\mathbb Z$ that remain disjoint with themselves under shifts

Published on 23 Mar 2026 - 3:40

score 137 · Answer 10 · 2026-03-22 23:19:12

137

Views

Subsets of $\mathbb Z/n\mathbb Z$ disjoint with some of its shifts

Published on 22 Mar 2026 - 23:19

score 103 · Answer 11 · 2026-03-25 11:02:24

103

Views

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2 \oplus \mathbb{Z}_2 $

Published on 25 Mar 2026 - 11:02

score 250 · Answer 12 · 2026-03-27 18:20:41

250

Views

Does there exist some sort of classification of finite verbally simple groups?

Published on 27 Mar 2026 - 18:20

score 214 · Answer 13 · 2019-02-14 21:00:51

214

Views

Proof that a group is finite

Published on 14 Feb 2019 - 21:00

score 210 · Answer 14 · 2026-03-25 22:05:11

210

Views

How to prove this property of this group of order $20$ without the Sylow theorems?

Published on 25 Mar 2026 - 22:05

score 172 · Answer 15 · 2019-02-15 11:28:34

172

Views

Find $3$ non-isomorphic groups of order $2012$

Published on 15 Feb 2019 - 11:28

List Question

Construct a group that has exactly 5 elements of order 4.

Quick proof that $SL_2(\mathbb Z/n\mathbb Z)\cong \oplus_{p\mid n}SL_2(\mathbb Z/p^{e_p}\mathbb Z)$

How do I know that $\mathbb{Z}_{175}$ is not an additional subgroup of order $175$?

Elementary proof that centre of finite $p$ group is not trivial

Calculate the character degrees of a finite group $G$.

Show that both side of the Plancherel formula are linear in $f$.

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2$

Is it true, that for any two non-isomorphic finite groups $G$ and $H$ there exists such a group word $w$, that $|V_w(G)| \neq |V_w(H)|$?

Subsets of $\mathbb Z/n\mathbb Z$ that remain disjoint with themselves under shifts

Subsets of $\mathbb Z/n\mathbb Z$ disjoint with some of its shifts

Characters of $\mathbb{Z}_2 \oplus \mathbb{Z}_2 \oplus \mathbb{Z}_2 $

Does there exist some sort of classification of finite verbally simple groups?

Proof that a group is finite

How to prove this property of this group of order $20$ without the Sylow theorems?

Find $3$ non-isomorphic groups of order $2012$

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