List questions from characters

Published on 19 Oct 2016 - 14:32

163

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Showing that $\sum_{n \bmod q} \lvert \chi(n) \rvert^2 = \phi(q)$

Published on 24 Oct 2016 - 21:21

366

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The trace of the regular character

Published on 27 Oct 2016 - 0:04

21

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Computing the characters of $\prod^t_{i=1} S_{N_i} \wr D_{m_i} $

Published on 29 Oct 2016 - 7:47

269

Views

Legendre symbols as multiplicative homomorphisms in number fields

Published on 25 Mar 2026 - 17:37

67

Views

A question about irreducible characters of defect one

Published on 08 Nov 2016 - 17:49

680

Views

Absolute values of complex irreducible characters of finite groups

Published on 10 Nov 2016 - 6:11

121

Views

Why does $\langle\chi, \chi_1\rangle \gt 0$ mean that $\chi$ is reducible?

Published on 11 Nov 2016 - 15:16

295

Views

character table and nilpotency/solubility

Published on 26 Mar 2026 - 4:49

97

Views

Proving a sum formula for group characters over $\mathbb F_q^\times$

Published on 12 Nov 2016 - 17:39

434

Views

Reading the centralizer off of the character table

Published on 24 Nov 2016 - 8:00

314

Views

Homomorphism between character groups

Published on 24 Nov 2016 - 12:14

130

Views

Understanding solution that $\sum_i d_i^2 \leq |G:H|$ for an induced character

Published on 25 Nov 2016 - 11:30

199

Views

Gauss Sum calculation

Published on 25 Mar 2026 - 12:47

255

Views

Zero's of a Character (Burnside's theorem)

Published on 04 Dec 2016 - 7:28

List Question

What are basis function and how do we use them to find matrix representation of a group?

Showing that $\sum_{n \bmod q} \lvert \chi(n) \rvert^2 = \phi(q)$

The trace of the regular character

Computing the characters of $\prod^t_{i=1} S_{N_i} \wr D_{m_i} $

Legendre symbols as multiplicative homomorphisms in number fields

A question about irreducible characters of defect one

Absolute values of complex irreducible characters of finite groups

Why does $\langle\chi, \chi_1\rangle \gt 0$ mean that $\chi$ is reducible?

character table and nilpotency/solubility

Proving a sum formula for group characters over $\mathbb F_q^\times$

Reading the centralizer off of the character table

Homomorphism between character groups

Understanding solution that $\sum_i d_i^2 \leq |G:H|$ for an induced character

Gauss Sum calculation

Zero's of a Character (Burnside's theorem)

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