The automorphism group of p-central p-groups
(2012) In International Journal of Group Theory 1(2). p.59-71- Abstract
- A p-group G is p-central if Gp ≤ Z(G), and G is p2-abelian if (xy)p2 = xp2 yp2 for all x; y ε G. We prove that for G a finite p2-abelian p-central p-group, excluding certain cases, the order of G divides the order of Aut(G).
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- author
- Thillaisundaram, Anitha LU
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- International Journal of Group Theory
- volume
- 1
- issue
- 2
- pages
- 59 - 71
- publisher
- University of Isfahan
- ISSN
- 2251-7650
- DOI
- 10.22108/ijgt.2012.745
- language
- English
- LU publication?
- no
- id
- f463c806-501c-45dc-bf8b-d6ae0a602437
- date added to LUP
- 2024-06-07 14:35:38
- date last changed
- 2024-08-13 09:32:59
@article{f463c806-501c-45dc-bf8b-d6ae0a602437, abstract = {{A p-group G is p-central if Gp ≤ Z(G), and G is p2-abelian if (xy)p2 = xp2 yp2 for all x; y ε G. We prove that for G a finite p2-abelian p-central p-group, excluding certain cases, the order of G divides the order of Aut(G).}}, author = {{Thillaisundaram, Anitha}}, issn = {{2251-7650}}, language = {{eng}}, number = {{2}}, pages = {{59--71}}, publisher = {{University of Isfahan}}, series = {{International Journal of Group Theory}}, title = {{The automorphism group of p-central p-groups}}, url = {{http://dx.doi.org/10.22108/ijgt.2012.745}}, doi = {{10.22108/ijgt.2012.745}}, volume = {{1}}, year = {{2012}}, }