Vipul: Created page with '{{field property}} ==Definition== A field is termed '''finite''' if it satisfies the following equivalent conditions: # The underlying set of the field is finite. # The un...'

2009-05-10T16:16:09Z

Created page with '{{field property}} ==Definition== A field is termed '''finite''' if it satisfies the following equivalent conditions: # The underlying set of the field is finite. # The un...'

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{{field property}}

==Definition==

A [[field]] is termed '''finite''' if it satisfies the following equivalent conditions:

# The underlying set of the field is finite.
# The underlying set of the field has size equal to a power of a prime.
# The underlying set of the field is a [[finite extension]] of a [[finite prime field]].

==Relation with other properties==

===Stronger properties===

* [[Weaker than::Finite prime field]]

===Weaker properties===

* [[Stronger than::Field of prime characteristic]]
* [[Stronger than::Finite extension of prime field]]
* [[Stronger than::Normal extension of prime field]]

Finite field - Revision history

Vipul: Created page with '{{field property}} ==Definition== A field is termed '''finite''' if it satisfies the following equivalent conditions: # The underlying set of the field is finite. # The un...'