Describe ways in which parents indirectly influence their children's peer relations

What will be an ideal response?

Inductive discipline and authoritative parenting offer a firm foundation for competence in relating to agemates. In contrast, coercive behavioral control, including harsh physical punishment, and psychological control engender poor social skills and aggressive behavior.
Furthermore, secure attachments to parents are linked to more responsive, harmonious peer interactions, larger peer networks, and warmer, more supportive friendships throughout childhood and adolescence. The sensitive, emotionally expressive parental communication that contributes to attachment security may be responsible.
Highly involved, emotionally positive, and cooperative play between parents and preschoolers is associated with more positive peer relations. And perhaps because parents play more with children of their own sex, mothers' play is more strongly linked to daughters' competence, fathers' play to sons' competence.
Finally, the quality of parents' social networks is associated with children's social competence. In one study, parents who reported high-quality friendships had school-age children who interacted more favorably with friends. This relationship was stronger for girls, perhaps because girls spend more time near parents and have more opportunity to observe their parents' friends. Furthermore, overlap between parents' and adolescents' social networks—frequent contact among teenagers' friends, their parents, and their parents' friends—is related to better school achievement and low levels of antisocial behavior. Under these conditions, other adults in parents' networks may promote parents' values and goals and monitor teenagers in their parents' absence.