Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-24T16:50:20.592Z Has data issue: false hasContentIssue false
  • English
  • Français

Finite Groups with Large Automizers for their Abelian Subgroups

Published online by Cambridge University Press:  20 November 2018

H. Bechtell ,
M. Deaconescu  and
Gh. Silberberg
H. Bechtell
Affiliation:
Department of Mathematics, University of New-Hampshire, Durham NH, USA 03824, e-mail: [email protected]
M. Deaconescu
Affiliation:
Department of Mathematics and Computer Science, University of Kuwait, P.O. Box 5969, Safat 13060, Kuwait, e-mail: [email protected]
Gh. Silberberg
Affiliation:
Department of Mathematics, Western University of Timisoara, Bd. V. Parvan 4, 1900-Timisoara, Romania, e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

This note contains the classification of the finite groups G satisfying the condition NG(H)/CG(H) ≅ Aut(H) for every abelian subgroup H of G.

Keywords

Primary: 20E34Secondary: 20D45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 266 - 270
Copyright
Copyright © Canadian Mathematical Society 1997

References

1. Deaconescu, M., Problem 10270, Amer. Math. Monthly 99 (1992).Google Scholar
2. Feit, W. and Seitz, G., On finite rational groups and related topics, Illinois J. Math. 33 (1988), 103–131.Google Scholar
3. Gaschütz, W. and Yen, T., Groups with an automorphism group which is transitive on the elements of prime power order, Math. Z. 86 (1964), 123–127.Google Scholar
4. Huppert, B., Endliche Gruppen I, Springer Verlag, 1967.Google Scholar
5. Huppert, B. and Blackburn, N., Finite Groups II, Springer Verlag, 1982.Google Scholar
6. Lennox, J. and Wiegold, J., On a question of Deaconescu about automorphisms, Rend. Sem. Mat. Univ. Padova 89 (1993), 83–86.Google Scholar
7. Zassenhaus, H., A group theoretic proof of a theorem of Maclagan-Wedderburn, Proc. Glasgow Math. Assoc. 1 (1952), 53–63.Google Scholar