| dc.contributor.author |
Kour, Surjeet |
|
| dc.contributor.author |
Vishakha |
|
| dc.date.accessioned |
2015-06-20T12:04:32Z |
|
| dc.date.available |
2015-06-20T12:04:32Z |
|
| dc.date.issued |
2015-05 |
|
| dc.identifier.citation |
Kour, Surjeet and Vishakha, “On equality of certain automorphism groups”, arXiv, Cornell University Library, DOI: arXiv:1505.05622, May 2015. |
en_US |
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/1768 |
|
| dc.description.abstract |
Let G=H×A be a finite group, where H is a purely non-abelian subgroup of G and A is a non-trivial abelian factor of G. Then, for n≥2, we show that there exists an isomorphism ϕ:Autγn(G)Z(G)(G)→Autγn(H)Z(H)(H) such that ϕ(Autn−1c(G))=Autn−1c(H). We also give some necessary and sufficient conditions on a finite p-group G such that Autcent(G)=Autn−1c(G) . Furthermore, for a finite non-abelian p-group G, we give some necessary and sufficient conditions for Autγn(G)Z(G)(G) to be equal to AutZ(G)γ2(G)(G). |
en_US |
| dc.description.statementofresponsibility |
by Surjeet Kour and Vishakha |
|
| dc.language.iso |
en |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Automorphism Groups |
en_US |
| dc.subject |
Group Theory |
en_US |
| dc.title |
On equality of certain automorphism groups |
en_US |
| dc.type |
Preprint |
en_US |