Properties

Label 1T1
Degree $1$
Order $1$
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:  $0$
$|\Aut(F/K)|$:  $1$
Generators:  None needed

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