Properties

Label 1T1
Order \(1\)
n \(1\)
Cyclic Yes
Abelian Yes
Solvable Yes
Primitive Yes
$p$-group Yes
Group: Trivial

Related objects

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Group action invariants

Degree $n$ :  $1$
Transitive number $t$ :  $1$
Group :  Trivial
CHM label :  $Trivial group$
Parity:  $1$
Primitive:  Yes
Nilpotency class:  $0$
Generators:  None needed
$|\Aut(F/K)|$:  $1$

Low degree resolvents

None

Resolvents shown for degrees $\leq 47$

Subfields

Degree 1 - None

Low degree siblings

There are no siblings with degree $\leq 47$
A number field with this Galois group has no arithmetically equivalent fields.

Conjugacy Classes

Cycle TypeSizeOrderRepresentative
$1$ $1$ $1$ $()$

Group invariants

Order:  $1$
Cyclic:  Yes
Abelian:  Yes
Solvable:  Yes
GAP id:  [1, 1]
Character table:   

       1a

X.1     1