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

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#abstract-algebra #group-theory #finite-groups #characters
195
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Properties of symmetric and alternating characters

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#abstract-algebra #group-theory #finite-groups #representation-theory #characters
38
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Counting characters of bounded conductors

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#number-theory #characters #adeles
328
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The condition between $\chi(1)$ and $[G:H]$ which gives us a normal subgroup.

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#abstract-algebra #group-theory #finite-groups #characters
191
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How to realize the character group as a Lie/algebraic/topological group?

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#lie-groups #topological-groups #algebraic-groups #characters #finitely-generated
310
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Show $\widehat{\mathbb{Z}}$ is isomorphic to $S^1$

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#group-theory #harmonic-analysis #topological-groups #group-homomorphism #characters
1.9k
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Confusion about the conductor for Dirichlet characters

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#number-theory #elementary-number-theory #characters
380
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Relation between characters of symmetric group and general linear group

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#group-theory #representation-theory #symmetric-groups #characters
377
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Information on semilinear groups.

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#group-theory #finite-groups #modules #representation-theory #characters
69
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Let $ f $ be an irreducible polynomial in $ \mathbb{F }_q [x] $, why $ f ^\frac{s}{deg (f)} $ has degree term $ s-1 $?

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#abstract-algebra #polynomials #finite-fields #characters #field-trace
52
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is this paper wrong? -- "irreducible characters of finite algebra groups" by andre

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#representation-theory #characters
58
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Every quasicharacter of an open subgroup extends to a quasicharacter of the group

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#general-topology #topological-groups #characters #locally-compact-groups
327
Views

Monster coefficients

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#group-theory #finite-groups #characters #gap #computer-algebra-systems
86
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Showing $\mathbb{F}_q^{\times}$ is cyclic using Character theory

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#representation-theory #finite-fields #characters
154
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Non-isomorphic finite groups with the same order and minimal dimension of real faithful irreducible representation

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#finite-groups #representation-theory #examples-counterexamples #characters

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