This is the 658th most frequent Icelandic word.
friðriksson
"Friðriksson" is an Icelandic patronymic surname meaning "son of Friðrik."
Here, 'Friðriksson' is used as a proper noun, signifying a person's surname.
Friðriksson er nafnið mitt.
Friðriksson is my name.
In this sentence, 'Friðriksson' is a reference to a specific individual known to both the speaker and the listener.
Ég hitti Friðriksson í gær.
I met Friðriksson yesterday.
The word 'Friðrikssonar' is the possessive form of 'Friðriksson', indicating ownership or association.