On groups with a restriction on normal subgroups
The structure of infinite groups in which every (proper) normal subgroup is the only one of its cardinality is investigated in the universe of groups without infinite simple sections. The corrisponding problem for finite soluble groups was considered by M. Curzio (1958).
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| Format: | Article |
| Language: | English |
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University of Isfahan
2018-03-01
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| Series: | International Journal of Group Theory |
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| Online Access: | http://ijgt.ui.ac.ir/article_21237_404c5b3acc80442c0389dbab78844bf3.pdf |
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Article |
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doaj-78055c06e58741d7ad5a55c1b9f92c7b2020-11-25T00:04:02ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692018-03-01711410.22108/ijgt.2016.2123721237On groups with a restriction on normal subgroupsAlessio Russo0Seconda Università di NapoliThe structure of infinite groups in which every (proper) normal subgroup is the only one of its cardinality is investigated in the universe of groups without infinite simple sections. The corrisponding problem for finite soluble groups was considered by M. Curzio (1958).http://ijgt.ui.ac.ir/article_21237_404c5b3acc80442c0389dbab78844bf3.pdfnormal subgroupsoluble groupisomorphism class |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alessio Russo |
| spellingShingle |
Alessio Russo On groups with a restriction on normal subgroups International Journal of Group Theory normal subgroup soluble group isomorphism class |
| author_facet |
Alessio Russo |
| author_sort |
Alessio Russo |
| title |
On groups with a restriction on normal subgroups |
| title_short |
On groups with a restriction on normal subgroups |
| title_full |
On groups with a restriction on normal subgroups |
| title_fullStr |
On groups with a restriction on normal subgroups |
| title_full_unstemmed |
On groups with a restriction on normal subgroups |
| title_sort |
on groups with a restriction on normal subgroups |
| publisher |
University of Isfahan |
| series |
International Journal of Group Theory |
| issn |
2251-7650 2251-7669 |
| publishDate |
2018-03-01 |
| description |
The structure of infinite groups in which every (proper) normal subgroup is the only one of its cardinality is investigated in the universe of groups without infinite simple sections. The corrisponding problem for finite soluble groups was considered by M. Curzio (1958). |
| topic |
normal subgroup soluble group isomorphism class |
| url |
http://ijgt.ui.ac.ir/article_21237_404c5b3acc80442c0389dbab78844bf3.pdf |
| work_keys_str_mv |
AT alessiorusso ongroupswitharestrictiononnormalsubgroups |
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