Gender, of course, is a huge theme in the play, especially as it relates to power. The Taming of the Shrew examines the way 16th-century ideas about gender and hierarchy are tested and reinforced in turbulent heterosexual relationships. While patriarchy appears to prevail at the play's end, it's important to consider all the ways the play works to undermine sexist assumptions about a woman's proper place in marriage and society. The play seems to recognize that gender is a social construction and can be "performed" by men and women. Aside from the obvious look at women's roles, Shrew seems interested in exploring ideal forms of masculinity and, to some extent, male bonding.
The Taming of the Shrew brings to our attention the limited number of social roles available to women.
In the play, a husband's masculinity is dependent upon his ability to control and dominate his wife.