Relating to or characteristic of gladiators; of or pertaining to gladiatorial combat.
From Latin 'gladiatorius' with the English '-y' ending; an alternative to 'gladiatorial' with slightly more archaic usage.
This is a 'variant suffix' situation—'gladiatory' and 'gladiatorial' mean the same thing, but '-atory' sounds older and more technical, while '-atorial' is more common in modern English.
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