Question

Showing $\tilde\chi: G/N \rightarrow \mathbb{C} $ is a character of group $G/N$.

score 165 · Answer 1 · 2020-04-06 20:50:20

165

Views

Showing $\tilde\chi: G/N \rightarrow \mathbb{C} $ is a character of group $G/N$.

Published on 06 Apr 2020 - 20:50

score 136 · Answer 2 · 2020-04-09 06:25:25

136

Views

Let $χ$ be an irreducible character of finite group $G$. Prove $χ(e)^2\leq \big[G: Z(χ)\big]$ $\iff$ if $χ(g) = 0$ for all $g ∈ G\backslash Z(χ)$.

Published on 09 Apr 2020 - 6:25

score 60 · Answer 3 · 2020-04-09 07:54:46

60

Views

Find all irreducible characters of $C_2\times C_3$.

Published on 09 Apr 2020 - 7:54

score 174 · Answer 4 · 2020-04-09 16:49:36

174

Views

For each irreducible representation of $S_4$ determine whether the restriction on $A_4$ is an irreducible representation of $A_4$

Published on 09 Apr 2020 - 16:49

score 76 · Answer 5 · 2020-04-11 23:39:24

76

Views

Show that characters are irreducible.

Published on 11 Apr 2020 - 23:39

score 341 · Answer 6 · 2020-04-15 08:05:02

341

Views

Character is algebraic number

Published on 15 Apr 2020 - 8:05

score 374 · Answer 7 · 2026-03-25 11:32:32

374

Views

Dirichlet $L$-function of primitive character in function field setting

Published on 25 Mar 2026 - 11:32

score 107 · Answer 8 · 2020-04-18 16:06:50

107

Views

Why do characters of groups have modulus $1$?

Published on 18 Apr 2020 - 16:06

score 336 · Answer 9 · 2020-04-25 06:55:04

336

Views

Determining the conductor of an induced Dirichlet character

Published on 25 Apr 2020 - 6:55

score 90 · Answer 10 · 2020-04-26 14:51:52

90

Views

Find a irrep from Character Table

Published on 26 Apr 2020 - 14:51

score 36 · Answer 11 · 2020-04-27 15:29:43

36

Views

Irreducible characters of k[G] when k is not algebraically closed and char k divides order of G.

Published on 27 Apr 2020 - 15:29

score 57 · Answer 12 · 2020-05-02 15:39:24

57

Views

Find an element of a Finite Group based on a table of characters

Published on 02 May 2020 - 15:39

score 133 · Answer 13 · 2020-05-03 01:33:39

133

Views

A function of the characters of a representation that determine how many orbits there are

Published on 03 May 2020 - 1:33

score 380 · Answer 14 · 2020-05-05 13:09:41

380

Views

Irreducible character of degree $n$ is $|\chi(g)|=n$ for every element in the center

Published on 05 May 2020 - 13:09

score 64 · Answer 15 · 2026-03-25 06:29:21

64

Views

How can I easily find character table of Sergeev group (finite)?

Published on 25 Mar 2026 - 6:29

List Question

Showing $\tilde\chi: G/N \rightarrow \mathbb{C} $ is a character of group $G/N$.

Let $χ$ be an irreducible character of finite group $G$. Prove $χ(e)^2\leq \big[G: Z(χ)\big]$ $\iff$ if $χ(g) = 0$ for all $g ∈ G\backslash Z(χ)$.

Find all irreducible characters of $C_2\times C_3$.

For each irreducible representation of $S_4$ determine whether the restriction on $A_4$ is an irreducible representation of $A_4$

Show that characters are irreducible.

Character is algebraic number

Dirichlet $L$-function of primitive character in function field setting

Why do characters of groups have modulus $1$?

Determining the conductor of an induced Dirichlet character

Find a irrep from Character Table

Irreducible characters of k[G] when k is not algebraically closed and char k divides order of G.

Find an element of a Finite Group based on a table of characters

A function of the characters of a representation that determine how many orbits there are

Irreducible character of degree $n$ is $|\chi(g)|=n$ for every element in the center

How can I easily find character table of Sergeev group (finite)?

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