Determinimg abelianp-groups from theirn-Socles
作者:
Alan H. Mekler,
Saharon Shelah,
期刊:
Communications in Algebra
(Taylor Available online 1990)
卷期:
Volume 18,
issue 2
页码: 287-307
ISSN:0092-7872
年代: 1990
DOI:10.1080/00927879008823915
出版商: Marcel Dekker, Inc.
数据来源: Taylor
摘要:
A necessary condition is given for a very wide separable p-group to be derermined by its n-socle (the set of elements of order at mostpn). A group G is very wide if it has a direct summand of final rank ‖G‖ which itself is a direct sum of cyclic groups. In the case, n=1 (as Shelat has shown)this condition is sufficient but for n>1 examples are given to show that this condition is not sufficient.
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