HAVE INFLUENCE &c. n.; be influential &c. adj.; carry weight, sway, bias, actuate, weigh, tell; have a hold upon, magnetize, bear upon, gain a footing, work upon; take root, take hold; strike root in.
PERVADE, run through; spread like wildfire, be rife &c. adj.; rage, gain head.
DOMINATE, subject, predominate; outweigh, overweigh; override, overbear; have -, get -, gain- -the upper hand, -full play; prevail.
BE RECOGNIZED, be listened to; make ones voice heard, gain a hearing; play a -part, - leading part- in; lead, control, rule, manage, master, get the mastery of, get control of, make ones influence felt; take the lead, pull the strings; wind round ones finger; turn -, throw ones weight into- the scale; set the fashion, lead the dance.
ADJECTIVE:
INFLUENTIAL, effective, effectual [rare], potent; important [See Importance]; weighty; prevailing &c. v.; prevalent, rife, rampant, dominant, regnant, predominant, in the ascendant, hegemonical; authoritative, recognized, telling.