On finite abelian groups realizable as Mislin genera.

Hilton, Peter, and Scevenels, Dirk. "On finite abelian groups realizable as Mislin genera.." Publicacions Matemàtiques 41.2 (1997): 495-505. <http://eudml.org/doc/41308>.

@article{Hilton1997,
abstract = {We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.},
author = {Hilton, Peter, Scevenels, Dirk},
journal = {Publicacions Matemàtiques},
keywords = {Grupos abelianos; Grupos finitos; Grupo nilpotente; finitely generated nilpotent groups; localizations; finite Abelian groups; Mislin genera; direct products of nilpotent groups},
language = {eng},
number = {2},
pages = {495-505},
title = {On finite abelian groups realizable as Mislin genera.},
url = {http://eudml.org/doc/41308},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Hilton, Peter
AU - Scevenels, Dirk
TI - On finite abelian groups realizable as Mislin genera.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 2
SP - 495
EP - 505
AB - We study the realizability of finite abelian groups as Mislin genera of finitely generated nilpotent groups with finite commutator subgroup. In particular, we give criteria to decide whether a finite abelian group is realizable as the Mislin genus of a direct product of nilpotent groups of a certain specified type. In the case of a positive answer, we also give an effective way of realizing that abelian group as a genus. Further, we obtain some non-realizability results.
LA - eng
KW - Grupos abelianos; Grupos finitos; Grupo nilpotente; finitely generated nilpotent groups; localizations; finite Abelian groups; Mislin genera; direct products of nilpotent groups
UR - http://eudml.org/doc/41308
ER -