FrobeniusAutomorphism

P158980
predicate

Indicates the automorphism of a field extension that raises each element to its p-th power (for a prime p), capturing the canonical Galois action in characteristic p.

All labels observed (2)

Label Occurrences
FrobeniusAutomorphism canonical 1
hasFrobeniusEndomorphism 1

Description generation (PDg)

The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.

Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning.  
# Instructions
Focus on describing the relationship, not the entities themselves. 
# Response Format
Begin the description with \' Indicates...\'
Input
Predicate: FrobeniusAutomorphism
Generated description
Indicates the automorphism of a field extension that raises each element to its p-th power (for a prime p), capturing the canonical Galois action in characteristic p.

Sample triples (2)

Subject Object
GF(p) x -> x^p via predicate surface "hasFrobeniusEndomorphism"
GF(p^m) x -> x^p