Group theory and generalizations Foundations Concept
Conjugacy class
Summary
The conjugacy class of an element of a group is the set of all elements with . The conjugacy classes partition the group.
Where this leads
15 pages build on this one.
- Representation theory of the symmetric group
- Markov theorem
- Commuting probability
- Schur orthogonality relations
- Fischer groups
- Arthur–Selberg trace formula
- Selberg trace formula
- Conjugacy of maximal tori
- Character table
- Harish-Chandra's regularity theorem
- Brauer's main theorems
- Frobenius element
- Frobenius reciprocity
- Chebotarev's density theorem
- Character of a representation
Further reading
About this page
| Tag | 0DEBXAJ5SA |
|---|---|
| URI | m2://0DEBXAJ5SA |
| Kind | concept |
| Writing | W1 stated |
| MSC | 20E45 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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What links here
Definitions
Used by
- Representation theory of the symmetric group
- Markov theorem
- Commuting probability
- Schur orthogonality relations
- Fischer groups
- Arthur–Selberg trace formula
- Selberg trace formula
- Conjugacy of maximal tori
- Character table
- Harish-Chandra's regularity theorem
- Brauer's main theorems
- Frobenius element
- Frobenius reciprocity
- Chebotarev's density theorem
- Character of a representation