Treffer: A note on minimal coverings of groups by subgroups
Title:
A note on minimal coverings of groups by subgroups
Authors:
Source:
Journal of the Australian Mathematical Society. 71:159-168
Publisher Information:
Cambridge University Press (CUP), 2001.
Publication Year:
2001
Subject Terms:
unions of subgroups, Abelian covers, General Mathematics, Chains and lattices of subgroups, subnormal subgroups, Solvable groups, supersolvable groups, Subgroup theorems, subgroup growth, Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks, 0102 computer and information sciences, 01 natural sciences, Centralizer, Finite Group, Graph, soluble groups, Maximal subgroups, minimal covers, maximal subgroups, 0101 mathematics, Arithmetic and combinatorial problems involving abstract finite groups, nilpotent covers
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
1446-8107
1446-7887
1446-7887
DOI:
10.1017/s1446788700002809
Access URL:
https://zbmath.org/1694842
https://doi.org/10.1017/s1446788700002809
http://journals.cambridge.org/abstract_S1446788700002809
https://openresearch-repository.anu.edu.au/handle/1885/93383
https://digitalcollections.anu.edu.au/handle/1885/93383
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/a-note-on-minimal-coverings-of-groups-by-subgroups/7DB0C840455D2BA765CA5292F6F3BD8E
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7DB0C840455D2BA765CA5292F6F3BD8E/S1446788700002809a.pdf/div-class-title-a-note-on-minimal-coverings-of-groups-by-subgroups-div.pdf
https://www.openaccessrepository.it/record/210180
https://hdl.handle.net/2158/332921
https://doi.org/10.1017/s1446788700002809
http://journals.cambridge.org/abstract_S1446788700002809
https://openresearch-repository.anu.edu.au/handle/1885/93383
https://digitalcollections.anu.edu.au/handle/1885/93383
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/a-note-on-minimal-coverings-of-groups-by-subgroups/7DB0C840455D2BA765CA5292F6F3BD8E
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7DB0C840455D2BA765CA5292F6F3BD8E/S1446788700002809a.pdf/div-class-title-a-note-on-minimal-coverings-of-groups-by-subgroups-div.pdf
https://www.openaccessrepository.it/record/210180
https://hdl.handle.net/2158/332921
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....b04bb38c4d44c6b49aa4f778f3eeb5f3
Database:
OpenAIRE
Weitere Informationen
Acoverfor a group is a finite set of subgroups whose union is the whole group. A cover isminimalif its cardinality is minimal. Minimal covers of finite soluble groups are categorised; in particular all but at most one of their members are maximal subgroups. A characterisation is given of groups with minimal covers consisting of abelian subgroups.