This is the 2558th most frequent Russian word.
славы
The Russian word "славы" means "glory" or "fame" (genitive singular or nominative plural of "слава").
In this sentence, 'славы' (genitive case of 'слава', meaning 'fame') is used to denote the concept of fame or public recognition that the subject desires.
Она стремилась к славе и успеху.
She aspired to fame and success.
Here, 'славы' signifies the renown or fame achieved by the musical group's songs.
Песни этой группы достигли славы по всему миру.
Songs of this group have achieved fame worldwide.
In this context, 'славы' represents the glory, a form of admiration and honor attributed to the heroes.