On the socles of fully inert subgroups of Abelian p-groups

We define the so-called fully inert socle-regular and weakly fully inert socle-regular Abelian p-groups and study them with respect to certain of their numerous interesting properties. For instance, we prove that in the case of groups of length ω, these two group classes coincide, but that in the ca...

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Bibliographic Details
Published in:Mediterranean journal of mathematics Vol. 18, № 3. P. 122 (1-20)
Main Author: Chekhlov, Andrey R.
Other Authors: Danchev, Peter V., Goldsmith, Brendan
Format: Article
Language:English
Subjects:
Online Access:http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000923651
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