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The automorphism group of p-central p-groups

Thillaisundaram, Anitha LU (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).
Please use this url to cite or link to this publication:
author
publishing date
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
2025-04-04 15:02:52
@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}},
}