List questions from characters

Published on 18 Feb 2015 - 16:41

66

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Prove that there exists an $m$th root of unity $λ ∈ C$ such that for all $g ∈ G$, $\chi(zg) =λ \chi(g)$

Published on 19 Feb 2015 - 13:00

603

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Character theory - Exercise 5.14

Published on 21 Feb 2015 - 15:26

247

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Thm 5.19 (Brauer) in Martin Isaacs' - Character Theory of Finite Groups

Published on 26 Feb 2015 - 22:36

565

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Abelian groups cannot have characters of degree 2

Published on 01 Mar 2015 - 18:47

123

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Proving that $\pi_{X \times Y} \simeq \pi_X \otimes \pi_Y$

Published on 03 Mar 2015 - 18:43

60

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Groups and Characters exercise hint

Published on 03 Mar 2015 - 18:59

212

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How much we know about the Group from its Complex character table?

Published on 04 Mar 2015 - 17:18

676

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Isomorphism between an group and its double dual

Published on 10 Mar 2015 - 20:35

561

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Sum of characters modulo k

Published on 12 Mar 2015 - 12:49

153

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Product of character values

Published on 16 Mar 2015 - 23:03

204

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Characters of Linear Algebraic Groups

Published on 25 Mar 2026 - 16:06

71

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Show that $ (φ^G )_K = (φ_{H∩K})^K $ with Mackey's theorem

Published on 26 Mar 2015 - 15:39

269

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Question concerning the Dirichlet density of a subset of the set of primes

Published on 26 Mar 2015 - 17:17

246

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How to prove that a certain set is a coset of a subgroup of a group of characters mod $m$?

Published on 27 Mar 2015 - 16:47

List Question

Finding irreducible subrepresenations of modular representation in GAP

Prove that there exists an $m$th root of unity $λ ∈ C$ such that for all $g ∈ G$, $\chi(zg) =λ \chi(g)$

Character theory - Exercise 5.14

Thm 5.19 (Brauer) in Martin Isaacs' - Character Theory of Finite Groups

Abelian groups cannot have characters of degree 2

Proving that $\pi_{X \times Y} \simeq \pi_X \otimes \pi_Y$

Groups and Characters exercise hint

How much we know about the Group from its Complex character table?

Isomorphism between an group and its double dual

Sum of characters modulo k

Product of character values

Characters of Linear Algebraic Groups

Show that $ (φ^G )_K = (φ_{H∩K})^K $ with Mackey's theorem

Question concerning the Dirichlet density of a subset of the set of primes

How to prove that a certain set is a coset of a subgroup of a group of characters mod $m$?

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