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On subgroups of ZJ type of an F-injector for Fitting classes F between Ep*p and Ep*Sp.

Ana Martínez Pastor (1994)

Publicacions Matemàtiques

Let G be a finite group and p a prime. We consider an F-injector K of G, being F a Fitting class between Ep*p y Ep*Sp, and we study the structure and normality in G of the subgroups ZJ(K) and ZJ*(K), provided that G verifies certain conditions, extending some results of G. Glauberman (A characteristic subgroup of a p-stable group, Canad. J. Math.20(1968), 555-564).

On super hamiltonian semigroups

Kar-Ping Shum, X. M. Ren (2004)

Czechoslovak Mathematical Journal

The concept of super hamiltonian semigroup is introduced. As a result, the structure theorems obtained by A. Cherubini and A. Varisco on quasi commutative semigroups and quasi hamiltonian semigroups respectively are extended to super hamiltonian semigroups.

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