Minimal abelian automorphism groups of finite groups

Peter V. Hegarty

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 94, page 121-135
  • ISSN: 0041-8994

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Hegarty, Peter V.. "Minimal abelian automorphism groups of finite groups." Rendiconti del Seminario Matematico della Università di Padova 94 (1995): 121-135. <http://eudml.org/doc/108365>.

@article{Hegarty1995,
author = {Hegarty, Peter V.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite non-cyclic -groups; minimal order; Abelian automorphism groups; finite 2-groups},
language = {eng},
pages = {121-135},
publisher = {Seminario Matematico of the University of Padua},
title = {Minimal abelian automorphism groups of finite groups},
url = {http://eudml.org/doc/108365},
volume = {94},
year = {1995},
}

TY - JOUR
AU - Hegarty, Peter V.
TI - Minimal abelian automorphism groups of finite groups
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 94
SP - 121
EP - 135
LA - eng
KW - finite non-cyclic -groups; minimal order; Abelian automorphism groups; finite 2-groups
UR - http://eudml.org/doc/108365
ER -

References

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  1. [1] J.E. Adney - T. Yen, Automorphisms of a p-group, Illinois J. Math., 9 (1965), pp. 137-143. Zbl0125.28803MR171845
  2. [2] J. Dixon, Problems in Group Theory, Blaisdell, New York (1976). Zbl0153.34901
  3. [3] B.E. Earnley, On finite groups whose group of automorphisms is Abelian, Ph. D. thesis, Wayne State University, 1975, Dissertation Abstracts, V. 36, p. 2269 B. 
  4. [4] R. Faudree, A note on the automorphism group of a p-group, Proc. Amer. Math. Soc., 19 (1968), pp. 1379-1382. Zbl0169.03301MR248224
  5. [5] J. Flynn - D. MACHALE - E. A. O'BRIEN - R. SHEEHY, Finite groups whose automorphism groups are 2-groups, Proc. R. Ir. Acad., 94A, No. 2 (1994), pp. 137-145. Zbl0847.20015MR1369026
  6. [6] O.J. Huval, A note on the outer automorphisms of finite nilpotent groups, Amer. Math. Monthly (1966), pp. 174-175. Zbl0135.05303MR1533639
  7. [7] D. Machale - R. Sheehy, Finite groups with odd order automorphism groups, Proc. R. Ir. Acad., to appear. Zbl0847.20028MR1660371
  8. [8] G.A. Miller, A non-Abelian group whose group of automorphisms is Abelian, Messenger Math., 43 (1913), pp. 124-125. JFM44.0166.02
  9. [9] M. Morigi, On p-groups with Abelian automorphism group, Rend. Sem. Mat. Univ. Padova, 92 (1994). Zbl0829.20028MR1320477
  10. [10] P.R. Sanders, The central automorphisms of a finite group, J. London Math. Soc., 44 (1969), pp. 225-228. Zbl0169.34004MR248208

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