Cyclic Group

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cyclic group [′sīk·lik ‚grüp]

(mathematics)

A group that has an elementasuch that any element in the group can be expressed in the formaⁿ, wherenis an integer.

Cyclic Group

in mathematics, a group for which all elements are powers of one element. The set of nth roots of unity is an example of a finite cyclic group. The set of integers forms an infinite cyclic group under addition (since the group operation in this case is addition, multiples are considered instead of powers). All finite cyclic groups with the same number of elements are isomorphic, as are all infinite cyclic groups. Any subgroup and any quotient group of a cyclic group are cyclic groups.

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No references found			They focus mainly on cyclic groups, even though some of the results become trivial. Factoring groups into subsets by SciTech Book News 2], the direct product of two copies of the cyclic group of order 2. More about how to teach fractal geometry with music by Padula, Janice / Australian Mathematics Teacher In particular, Jacques Wolfmann studied within this framework the notion of cyclic code (code which is invariant by the action of the cyclic group of permutations: particular case of affine groups). Affine invariant codes over [[??].sub.4] with linear gray image by Gueye, Cheikh Thiecoumba / Global Journal of Pure and Applied Mathematics			cyclebabble cyclegraph technique cycles per second cyclethrin cyclic cyclic adenylic acid cyclic amide cyclic AMP cyclic AMP-dependent protein kinase cyclic AMP-responsive element binding protein cyclic anhydride cyclic catalytic reforming process cyclic chronopotentiometry cyclic code cyclic coil Cyclic Compound cyclic coordinate cyclic currents cyclic curve cyclic element cyclic extension cyclic feeding Cyclic Flower cyclic GMP cyclic graph Cyclic Group cyclic identity cyclic ion cyclic left module cyclic magnetization cyclic mining cyclic nucleotide phosphodiesterase Cyclic Nucleotides cyclic permeability cyclic permutation cyclic polygon cyclic redundancy check cyclic redundancy code cyclic salt cyclic sedimentation cyclic shift cyclic storage cyclic testing cyclic train cyclic transfer cyclic twinning cyclic voltammetry Cyclical Form Cyclical School Cyclical Work Schedule cyclin			cyclic coil cyclic compound cyclic compound Cyclic Conjugate Correlation Matrix cyclic coordinate Cyclic Cross Polarization cyclic currents cyclic curve Cyclic delay diversity Cyclic Difference Set cyclic disorder Cyclic Division Algebras cyclic edema cyclic element Cyclic Elevator Cyclic Elevator Cyclic ester Cyclic ester Cyclic ester Cyclic extension cyclic feeding Cyclic Flow Reversal Combustion Cyclic Flower cyclic follicular dysplasia cyclic follicular dysplasia Cyclic Gamma Interconnection Network cyclic GMP cyclic GMP cyclic GMP Cyclic graph Cyclic Group Cyclic group of order 2 Cyclic groups Cyclic guanosine 3'-5' monophosphate cyclic guanosine monophosphate cyclic guanosine monophosphate cyclic guanosine monophosphate cyclic guanosine monophosphate cyclic guanosine monophosphate (cGMP) cyclic guanosine monophosphate (cGMP) cyclic guanosine monophosphate (cGMP) cyclic guanosine monophosphate (cGMP) cyclic guanosine monophosphate (cyclic GMP, cGMP) cyclic guanosine monophosphate (cyclic GMP, cGMP) cyclic guanosine monophosphate (cyclic GMP, cGMP) cyclic hematopoiesis of collies cyclic hematopoiesis of collies cyclic hematopoiesis of collies cyclic heterotropia cyclic heterotropia cyclic heterotropia Cyclic hydrocarbon Cyclic hydrocarbon Cyclic hydrocarbon Cyclic hydrocarbons Cyclic hydrocarbons Cyclic hydrocarbons Cyclic Ichthyosis with Epidermolytic Hyperkeratosis cyclic identity cyclic ion cyclic left module

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