Question

Show that for character $\chi$ of an Abelian group $G$ we have $[\chi; \chi] \ge \chi(1)$.

score 468 · Answer 1 · 2026-03-17 10:43:19

468

Views

Show that for character $\chi$ of an Abelian group $G$ we have $[\chi; \chi] \ge \chi(1)$.

Published on 17 Mar 2026 - 10:43

score 186 · Answer 2 · 2026-03-19 09:08:20

186

Views

Properties of symmetric and alternating characters

Published on 19 Mar 2026 - 9:08

score 29 · Answer 3 · 2026-03-17 05:01:29

29

Views

Counting characters of bounded conductors

Published on 17 Mar 2026 - 5:01

score 317 · Answer 4 · 2026-03-17 17:51:51

317

Views

The condition between $\chi(1)$ and $[G:H]$ which gives us a normal subgroup.

Published on 17 Mar 2026 - 17:51

score 183 · Answer 5 · 2026-03-19 20:34:28

183

Views

How to realize the character group as a Lie/algebraic/topological group?

Published on 19 Mar 2026 - 20:34

score 299 · Answer 6 · 2026-03-19 04:31:27

299

Views

Show $\widehat{\mathbb{Z}}$ is isomorphic to $S^1$

Published on 19 Mar 2026 - 4:31

score 1.9k · Answer 7 · 2026-03-17 14:32:23

1.9k

Views

Confusion about the conductor for Dirichlet characters

Published on 17 Mar 2026 - 14:32

score 369 · Answer 8 · 2026-03-17 23:29:13

369

Views

Relation between characters of symmetric group and general linear group

Published on 17 Mar 2026 - 23:29

score 370 · Answer 9 · 2026-03-17 00:29:28

370

Views

Information on semilinear groups.

Published on 17 Mar 2026 - 0:29

score 60 · Answer 10 · 2026-03-17 15:43:08

60

Views

Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

Published on 17 Mar 2026 - 15:43

score 45 · Answer 11 · 2026-03-17 12:21:03

45

Views

is this paper wrong? -- "irreducible characters of finite algebra groups" by andre

Published on 17 Mar 2026 - 12:21

score 51 · Answer 12 · 2026-03-21 22:26:14

51

Views

Every quasicharacter of an open subgroup extends to a quasicharacter of the group

Published on 21 Mar 2026 - 22:26

score 315 · Answer 13 · 2026-03-24 16:19:59

315

Views

Monster coefficients

Published on 24 Mar 2026 - 16:19

score 82 · Answer 14 · 2026-03-23 20:26:05

82

Views

Showing $\mathbb{F}_q^{\times}$ is cyclic using Character theory

Published on 23 Mar 2026 - 20:26

score 146 · Answer 15 · 2026-03-23 18:23:56

146

Views

Non-isomorphic finite groups with the same order and minimal dimension of real faithful irreducible representation

Published on 23 Mar 2026 - 18:23

List Question

Show that for character $\chi$ of an Abelian group $G$ we have $[\chi; \chi] \ge \chi(1)$.

Properties of symmetric and alternating characters

Counting characters of bounded conductors

The condition between $\chi(1)$ and $[G:H]$ which gives us a normal subgroup.

How to realize the character group as a Lie/algebraic/topological group?

Show $\widehat{\mathbb{Z}}$ is isomorphic to $S^1$

Confusion about the conductor for Dirichlet characters

Relation between characters of symmetric group and general linear group

Information on semilinear groups.

Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

is this paper wrong? -- "irreducible characters of finite algebra groups" by andre

Every quasicharacter of an open subgroup extends to a quasicharacter of the group

Monster coefficients

Showing $\mathbb{F}_q^{\times}$ is cyclic using Character theory

Non-isomorphic finite groups with the same order and minimal dimension of real faithful irreducible representation

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