Result: On the probability of generating a minimal d-generated group: On the probability of generating a minimal \(d\)-generated group
Title:
On the probability of generating a minimal d-generated group: On the probability of generating a minimal \(d\)-generated group
Authors:
Contributors:
DALLA VOLTA, F, Lucchini, A, Morini, Fiorenza
Source:
Journal of the Australian Mathematical Society. 71:177-186
Publisher Information:
Cambridge University Press (CUP), 2001.
Publication Year:
2001
Subject Terms:
Generators, relations, and presentations of groups, finite groups, generating set, probability, minimal normal subgroups, Probabilistic methods in group theory, minimal generating sets, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, numbers of generators
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1446-8107
1446-7887
1446-7887
DOI:
10.1017/s1446788700002822
Access URL:
https://www.cambridge.org/core/services/aop-cambridge-core/content/view/2E7266AF4B416956ABBF281F731A408E/S1446788700002822a.pdf/div-class-title-on-the-probability-of-generating-a-minimal-span-class-italic-d-span-generated-group-div.pdf
https://zbmath.org/1694844
https://doi.org/10.1017/s1446788700002822
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/on-the-probability-of-generating-a-minimal-dgenerated-group/2E7266AF4B416956ABBF281F731A408E
http://www.journals.cambridge.org/abstract_S1446788700002822
https://boa.unimib.it/handle/10281/2782
https://hdl.handle.net/10281/2782
https://doi.org/10.1017/S1446788700002822
https://hdl.handle.net/11577/127384
https://zbmath.org/1694844
https://doi.org/10.1017/s1446788700002822
https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/on-the-probability-of-generating-a-minimal-dgenerated-group/2E7266AF4B416956ABBF281F731A408E
http://www.journals.cambridge.org/abstract_S1446788700002822
https://boa.unimib.it/handle/10281/2782
https://hdl.handle.net/10281/2782
https://doi.org/10.1017/S1446788700002822
https://hdl.handle.net/11577/127384
Rights:
Cambridge Core User Agreement
Accession Number:
edsair.doi.dedup.....c9e00f47cbfa5f1a9f9463c2090b9b1b
Database:
OpenAIRE
Further Information
We consider finite groups with the property that any proper factor can be generated by a smaller number of elements than the group itself. We study some problems related with the probability of generating these groups with a given number of elements.