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noncyclic group

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  • Thin group — In mathematics, in the realm of group theory, a group is said to be thin if there is a finite upper bound on the girth of the Cayley graph induced by any finite generating set. The group is called fat if it is not thin.Given any generating set of …   Wikipedia

  • List of simple Lie groups — In mathematics, the simple Lie groups were classified by Élie Cartan.The list of simple Lie groups can be used to read off the list of simple Lie algebras and Riemannian symmetric spaces. See also the table of Lie groups for a smaller list of… …   Wikipedia

  • carboxylic acid — Chem. any organic acid containing one or more carboxyl groups. [1900 05; CARBOXYL + IC] * * * Any organic compound with the general chemical formula ―COOH in which a carbon (C) atom is bonded to an oxygen (O) atom by a double bond to make a… …   Universalium

  • photosynthesis — photosynthetic /foh teuh sin thet ik/, adj. photosynthetically, adv. /foh teuh sin theuh sis/, n. Biol., Biochem. (esp. in plants) the synthesis of complex organic materials, esp. carbohydrates, from carbon dioxide, water, and inorganic salts,… …   Universalium

  • Central series — In mathematics, especially in the fields of group theory and Lie theory, a central series is a kind of normal series of subgroups or Lie subalgebras, expressing the idea that the commutator is nearly trivial. For groups, this is an explicit… …   Wikipedia

  • heterocyclic compound — Any of a class of organic compounds whose molecules contain one or more rings of atoms with at least one atom (the heteroatom) being an element other than carbon, most frequently oxygen, nitrogen, or sulfur. As in regular cyclic hydrocarbons,… …   Universalium

  • hydrocarbon — hydrocarbonaceous, adj. /huy dreuh kahr beuhn, huy dreuh kahr /, n. any of a class of compounds containing only hydrogen and carbon, as an alkane, methane, CH4, an alkene, ethylene, C2H4, an alkyne, acetylene, C2H2, or an aromatic compound,… …   Universalium

  • Food web — A freshwater aquatic and terrestrial food web. A food web (or food cycle) depicts feeding connections (what eats what) in an ecological community. Ecologists can broadly lump all life forms into one of two categories called trophic levels: 1) the …   Wikipedia

  • Bézout domain — In mathematics, a Bézout domain is an integral domain which is, in a certain sense, a non Noetherian analogue of a principal ideal domain. More precisely, a Bézout domain is a domain in which every finitely generated ideal is principal. A… …   Wikipedia

  • chain — 1. In chemistry, a series of atoms held together by one or more covalent bonds. 2. In bacteriology, a linear arrangement of living cells that have divided in one plane and remain attached to each other. 3. A series of reactions. 4. In anatomy, a… …   Medical dictionary

  • Photosystem — Photosystems (ancient Greek: phos = light and systema = assembly) are protein complexes involved in photosynthesis. They are found in the thylakoid membranes of plants, algae and cyanobacteria (in plants and algae these are located in the… …   Wikipedia

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