The object of this work is to find classes of groups which possess only countably many maximal subgroups. Modules with countably many maximal submodules and group rings having countably many maximal right ideals are also investigated. Examples of soluble groups with uncountably many maximal subgroups are described.
On groups with countably many maximal subgroups / Arikan, A. h. m. e. t.; Cutolo, Giovanni; Robinson, Derek John S. c. o. t. t.. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 21:2(2018), pp. 253-271. [10.1515 / jgth-2017-0035]
On groups with countably many maximal subgroups
CUTOLO, GIOVANNI;
2018
Abstract
The object of this work is to find classes of groups which possess only countably many maximal subgroups. Modules with countably many maximal submodules and group rings having countably many maximal right ideals are also investigated. Examples of soluble groups with uncountably many maximal subgroups are described.File in questo prodotto:
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