Braid Group
In mathematics, the braid group on n strands, denoted by Bn, is a group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group Sn. Here, n is a natural number; if n > 1, then Bn is an infinite group. Braid groups find applications in knot theory, since any knot may be represented as the closure of certain braids.
Read more about Braid Group: Actions of Braid Groups, Infinitely Generated Braid Groups
Famous quotes containing the words braid and/or group:
“As a father I had some trouble finding the words to separate the person from the deed. Usually, when one of my sons broke the rules or a window, I was too angry to speak calmly and objectively. My own solution was to express my feelings, but in an exaggerated, humorous way: “You do that again and you will be grounded so long they will call you Rip Van Winkle II,” or “If I hear that word again, I’m going to braid your tongue.””
—David Elkind (20th century)
“Now, honestly: if a large group of ... demonstrators blocked the entrances to St. Patrick’s Cathedral every Sunday for years, making it impossible for worshipers to get inside the church without someone escorting them through screaming crowds, wouldn’t some judge rule that those protesters could keep protesting, but behind police lines and out of the doorways?”
—Anna Quindlen (b. 1953)