Some inequalities for the multiplicator of a finite group

Author:

Jones Michael R.

Abstract

The paper is devoted to the derivation of certain upper and lower bounds for the multiplicator of a finite group. The lower bounds enable us to give a sufficient condition for a finite group to have nontrivial multiplicator.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Über den Multiplikator von 𝑝-Gruppen;Gaschütz, W.;Math. Z.,1967

2. On the number of automorphisms of a finite group;Green, J. A.;Proc. Roy. Soc. London Ser. A,1956

3. Die Grundlehren der mathematischen Wissenschaften, Band 134;Huppert, B.,1967

4. Multiplicators of 𝑝-groups;Jones, Michael R.;Math. Z.,1972

5. The cohomology theory of group extensions;Lyndon, Roger C.;Duke Math. J.,1948

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