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    Get AOL Mail for FREE! Manage your email like never before with travel, photo & document views. Personalize your inbox with themes & tabs. You've Got Mail!

  3. Generator (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Generator_(mathematics)

    The 5th roots of unity in the complex plane under multiplication form a group of order 5. Each non-identity element by itself is a generator for the whole group. In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts.

  4. Free group - Wikipedia

    en.wikipedia.org/wiki/Free_group

    A free group of rank k clearly has subgroups of every rank less than k. Less obviously, a (nonabelian!) free group of rank at least 2 has subgroups of all countable ranks. The commutator subgroup of a free group of rank k > 1 has infinite rank; for example for F(a,b), it is freely generated by the commutators [a m, b n] for non-zero m and n.

  5. Cyclic group - Wikipedia

    en.wikipedia.org/wiki/Cyclic_group

    The Paley graph of order 13, a circulant graph formed as the Cayley graph of Z/13 with generator set {1,3,4} A Cayley graph is a graph defined from a pair ( G , S ) where G is a group and S is a set of generators for the group; it has a vertex for each group element, and an edge for each product of an element with a generator.

  6. HTML form - Wikipedia

    en.wikipedia.org/wiki/HTML_form

    Forms can resemble paper or database forms because web users fill out the forms using checkboxes, radio buttons, or text fields. For example, forms can be used to enter shipping or credit card data to order a product, or can be used to retrieve search results from a search engine .

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