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@article{493361,
author = {Greither, Cornelius and Kučera, Radan},
article_number = {2},
keywords = {annihilators; class group; cyclotomic units; cyclic fields},
language = {eng},
issn = {0065-1036},
journal = {Acta Arithmetica},
title = {Annihilators for the class group of a cyclic field of prime power degree},
volume = {112},
year = {2004}
}
TY - JOUR
ID - 493361
AU - Greither, Cornelius - Kučera, Radan
PY - 2004
TI - Annihilators for the class group of a cyclic field of prime power degree
JF - Acta Arithmetica
VL - 112
IS - 2
SP - 177-198
EP - 177-198
SN - 00651036
KW - annihilators
KW - class group
KW - cyclotomic units
KW - cyclic fields
N2 - The aim of this paper is to prove annihilation statements for the class groups of a restricted class of absolutely abelian fields, improving upon those that can be obtained by applying the celebrated methods of Thaine and Rubin in that the `special elements' involved are better adapted than the Sinnott circular unit which the latter method would use. In fact, the special elements here occur as `roots' of the Sinnott circular unit under the action of certain augmentation elements of the associated integral Galois group ring.
ER -
GREITHER, Cornelius and Radan KUČERA. Annihilators for the class group of a cyclic field of prime power degree. \textit{Acta Arithmetica}. 2004, vol.~112, No~2, p.~177-198. ISSN~0065-1036.
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