The nonseparability of simply presented mixed groups
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 1-5
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It is demonstrated that an isotype subgroup of a simply presented abelian group can be simply presented without being a separable subgroup. In particular, the conjecture based on a variety of special cases that Warfield groups are absolutely separable is disproved.
Classification :
20F05, 20K21, 20K27
Keywords: Warfield groups; simply presented; isotype subgroup; separable subgroup
Keywords: Warfield groups; simply presented; isotype subgroup; separable subgroup
@article{CMUC_1998__39_1_a0,
author = {Hill, Paul and Megibben, Charles},
title = {The nonseparability of simply presented mixed groups},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {1--5},
publisher = {mathdoc},
volume = {39},
number = {1},
year = {1998},
mrnumber = {1622308},
zbl = {0943.20053},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a0/}
}
TY - JOUR AU - Hill, Paul AU - Megibben, Charles TI - The nonseparability of simply presented mixed groups JO - Commentationes Mathematicae Universitatis Carolinae PY - 1998 SP - 1 EP - 5 VL - 39 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a0/ LA - en ID - CMUC_1998__39_1_a0 ER -
Hill, Paul; Megibben, Charles. The nonseparability of simply presented mixed groups. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 1, pp. 1-5. http://geodesic.mathdoc.fr/item/CMUC_1998__39_1_a0/