set of defining relations
31State (polity) — This article is about the general concept of the state. For the subjects of international law, see Sovereign state. For other uses, see State (disambiguation). The frontispiece of Thomas Hobbes Leviathan A state is an organised political… …
32Absolute presentation of a group — In mathematics, one method of defining a group is by an absolute presentation.B. Neumann, The isomorphism problem for algebraically closed groups, in: Word Problems, Decision Problems, and the Burnside Problem in Group Theory, Amsterdam London… …
33Clifford algebra — In mathematics, Clifford algebras are a type of associative algebra. They can be thought of as one of the possible generalizations of the complex numbers and quaternions.[1][2] The theory of Clifford algebras is intimately connected with the… …
34Todd–Coxeter algorithm — In group theory, the Todd–Coxeter algorithm, discovered by J.A. Todd and H.S.M. Coxeter in 1936, is an algorithm for solving the coset enumeration problem. Given a presentation of a group G by generators and relations and a subgroup H of G , the… …
35Action algebra — In algebraic logic, an action algebra is an algebraic structure which is both a residuated semilattice and a Kleene algebra. It adds the star or reflexive transitive closure operation of the latter to the former, while adding the left and right… …
36Dehn function — In the mathematical subject of geometric group theory, a Dehn function, named after Max Dehn, is an optimal function associated to a finite group presentation which bounds the area of a relation in that group (that is a freely reduced word in the …
37Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single …
38Muhammad — /moo ham euhd, hah meuhd/, n. 1. Also, Mohammed, Mahomet. A.D. 570 632, Arab prophet: founder of Islam. 2. Elijah (Elijah Poole), 1897 1975, U.S. clergyman: leader of the Black Muslims 1934 75. 3. a male given name. * * * I or Mohammed born с 570 …
39Split-quaternion — Coquaternion multiplication × 1 i j k 1 1 i j k i i −1 k −j j j −k +1 −i …
40Direct product of groups — Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product, direct sum semidirect product, wreath product …
