For the English translations of the Frontier Brains, I guess the people who translated it messed it up a bit. According to the game, the exact names of the Five Frontier Brains are as following:
Battle Tower: Palmer
Battle Factory: Thorton
Battle Arcade: Dahlia
Battle Castle: Darach
Battle Hall: Argenta
the next list is the one we have, same order as I wrote above:
Battle Tower - Palmer
Battle Factory - Nejiki
Battle Roulette - Daria
Battle Castle - Cochran
Battle Stage - Keito
People might think we got the names wrong, plus some of the places incorrectly named. my other note along with the Battle Frontier is the Battle Points chart.
Battle Tower: Palmer
Streak - BP ??? - ??? (guide book does not say)
Trophies:
Bronze - Win 20 consecutive single battles
Silver - Win 50 consecutive single battles
Gold - Win 100 consecutive single battles
Ribbons:
Ability Ribbon - Beat Palmer in single battle (1st time)
Great Ability Ribbon - Beat Palmer in single battle (2nd time)
Double Ability Ribbon - Win 50 consecutive Double Battles
Multi Ability Ribbon - Win 50 consecutive Multi Battles
Pair Ability Ribbon - Win 50 consecutive Multi Battles (Over wireless)
World Ability Ribbon - Attain Rank 5 at the Wi-Fi Battle Room
Battle Factory: Thorton
Streak - BP ??? - ??? (guide book does not say)
Battle Arcade: Dahlia
Streak - BP ??? - ??? (guide book does not say)
Battle Castle: Darach
Feat - CP* # of Pokemon that have not fainted - No.x3CP
# of pokemon with full HP - No.x3CP
# of pokemon with more than half HP remaining - No.x2CP
# of pokemon with less than half HP remaining - No.x1CP
# of pokemon with no status ailments - No.x1CP
You used under 5PP Total in battle - No.x8CP
You used under 10PP Total in battle - No.x6CP
You used under 15PP Total in battle - No.x4CP
# of foe's pokemon that you gave +5 Lv - No.x7CP
Battle Hall: Argenta
Streak - BP 10 - 1
30 - 3
Every 50 wins to 450 from 50 - 5
Every 100 wins from 500 to 1000 - 10
Every 200 wins from 1200 to 1800 - 30
From 2000+ Wins - 50
* Please note, this is correctly stated as CP, for the Battle Castle, its not BP thats won. CP is used inside the Battle CastleYo.