cyclic extension

cyclic extension

[′sīk·lik ik′sten·chən]
(mathematics)
A Galois extension whose Galois group is cyclic.
References in periodicals archive ?
Let k'/k be a cyclic extension of number fields with G = Gal (k'/k) = <[sigma]>.
To solve the ISI problem, a cyclic extension was introduced to the transmitted symbols, known as guard time, but its introduction results into loss of spectral efficiency.
The received signal is first stripped of its cyclic extension and then passed through a bank of chip matched filters, as shown in Figure 1, where
chi]], t), where K/k is the finite cyclic extension corresponding to [chi].
Let K/k be the cyclic extension corresponding to [chi].
l] and a character [chi] with corresponding cyclic extension K/k of degree [p.
r(G)])/k is cyclic extension where r(G) is the highest power of 2 dividing the exponent of G.
Let p and q be distinct odd primes and k/Q a cyclic extension of degree q.
Let k/Q be a cyclic extension of degree q,and Cl(k) the ideal class group of k.
In fact, since the cyclic extension [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is unramified at all finite primes, genus theory tells the 2-part of the narrow ideal class group of Q([square root of [p.
When the Hose-Pump is connected to a buoy, wave action can be harnessed to produce pressurised fluid via cyclic extensions.