p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS
Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 269-279
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For a fixed integer e and prime p we construct the p-adic order bounded group valuations for a given abelian group G. These valuations give Hopf orders inside the group ring KG where K is an extension of with ramification index e. The orders are given explicitly when G is a p-group of order p or p 2. An example is given when G is not abelian.
KOCH, ALAN; MALAGON, AUDREY. p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS. Glasgow mathematical journal, Tome 49 (2007) no. 2, pp. 269-279. doi: 10.1017/S0017089507003680
@article{10_1017_S0017089507003680,
author = {KOCH, ALAN and MALAGON, AUDREY},
title = {p-ADIC {ORDER} {BOUNDED} {GROUP} {VALUATIONS} {ON} {ABELIAN} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {269--279},
year = {2007},
volume = {49},
number = {2},
doi = {10.1017/S0017089507003680},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003680/}
}
TY - JOUR AU - KOCH, ALAN AU - MALAGON, AUDREY TI - p-ADIC ORDER BOUNDED GROUP VALUATIONS ON ABELIAN GROUPS JO - Glasgow mathematical journal PY - 2007 SP - 269 EP - 279 VL - 49 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089507003680/ DO - 10.1017/S0017089507003680 ID - 10_1017_S0017089507003680 ER -
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