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21.
An element?σ?of An , the Alternating group of degree n, is extendible in Sn , the Symmetric group of degree n, if there exists a subgroup H of Sn but not An whose intersection with An is the cyclic group generated by σ. A simple number-theoretic criterion, in terms of the cycle-decomposition, for an element of An to be extendible in Sn is given here. 相似文献
22.
In previous papers [O.J. Brison, J.E. Nogueira, Linear recurring sequence subgroups in finite fields, Finite Fields Appl. 9 (2003) 413–422; O.J. Brison, J.E. Nogueira, Second order linear sequence subgroups in finite fields, Finite Fields Appl. 14 (2008) 277–290] the authors investigated when, and how, a multiplicative subgroup of a finite field can be written, without repetition, as a cyclically-closed second order recurring sequence. Here, the earlier results are extended for sequences with certain restricted periods. 相似文献
23.
Seyfarth G Brison JP Méasson MA Flouquet J Izawa K Matsuda Y Sugawara H Sato H 《Physical review letters》2005,95(10):107004
The thermal conductivity of the heavy fermion superconductor Pr(Os(4)Sb(12) was measured down to T(c)/40 throughout the vortex state. At lowest temperatures and for magnetic fields H approximately 0.07H(c2), already 40% of the normal state thermal conductivity is restored. This behavior (similar to that observed in MgB2) is a clear signature of multiband superconductivity in this compound. 相似文献