periodic subgroup

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• subgroup — [sub′gro͞op΄] n. 1. a subdivision of a group; subordinate group 2. Chem. a vertical subdivision of a group in the periodic table of chemical elements 3. Math. a group whose elements form a subset of another group …   English World dictionary

• periodic law — /pear ee od ik, pear /, Chem. 1. the law that the properties of the elements are periodic functions of their atomic numbers. 2. Also called Mendeleev s law. (originally) the statement that the chemical and physical properties of the elements… …   Universalium

• Periodic group — In group theory in mathematics, a periodic group or a torsion group is a group in which each element has finite order. All finite groups are periodic. The concept of a periodic group should not be confused with that of a cyclic group.The exponent …   Wikipedia

• subgroup — /sub groohp /, n. 1. a subordinate group; a division of a group. 2. Chem. a division of a group in the periodic table. 3. Math. a subset of a group that is closed under the group operation and in which every element has an inverse in the subset.… …   Universalium

• subgroup — /ˈsʌbgrup/ (say subgroohp) noun 1. a subordinate group; a division of a group. 2. Chemistry a vertical division of a group in the periodic table; family. –verb (t) 3. to divide into smaller groups. –subgrouping, noun …  

• Torsion subgroup — In the theory of abelian groups, the torsion subgroup AT of an abelian group A is the subgroup of A consisting of all elements that have finite order. An abelian group A is called a torsion (or periodic) group if every element of A has finite… …   Wikipedia

• Abelian group — For other uses, see Abelian (disambiguation). Abelian group is also an archaic name for the symplectic group Concepts in group theory category of groups subgroups, normal subgroups group homomorphisms, kernel, image, quotient direct product,… …   Wikipedia

• Boundedly generated group — In mathematics, a group is called boundedly generated if it can be expressed as a finite product of cyclic subgroups. The property of bounded generation is also closely related with the congruence subgroup problem (see harvnb|Lubotzky|Segal|2003) …   Wikipedia

• Burnside's problem — The Burnside problem, posed by William Burnside in 1902 and one of the oldest and most influential questions in group theory, asks whether a finitely generated group in which every element has finite order must necessarily be a finite group. In… …   Wikipedia

• List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… …   Wikipedia

• Locally finite group — In mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group. Sylow subgroups, Carter subgroups, and abelian subgroups of locally finite groups have been… …   Wikipedia