let $g$ be a finite group and let $text{cd}(g)$ be the set of all‎ ‎complex irreducible character degrees of $g$‎. ‎b‎. ‎huppert conjectured‎ ‎that if $h$ is a finite nonabelian simple group such that‎ ‎$text{cd}(g) =text{cd}(h)$‎, ‎then $gcong h times a$‎, ‎where $a$ is‎ ‎an abelian group‎. ‎in this paper‎, ‎we verify the conjecture for‎ ${f_4(2)}.$‎

The regular embeddings of complete bipartite graphs Kn,n in orientable surfaces are classified 5 and enumerated, and their automorphism groups and combinatorial properties are determined. The method depends on earlier classifications in the cases where n is a prime power, obtained in collaboration with Du, Kwak, Nedela and Škoviera, together with results of Itô, Hall, Huppert and Wielandt on fa...

Since the beginning of antibiotic therapy on a large scale, it has become apparent that quite frequently the initial infection for which the therapy was instituted has been replaced with an invasion by microorganisms which are resistant to the particular antibiotic being used (McCoy, 1954). This new process may vary from a relatively mild infestation (Sharp, 1954) to an extremely severe and pos...

During the febrile stages of most acute infections both the total and the nitrogen metabolisms are found to be considerably altered. These, under ordinaryconditions of feeding, usually result in negative nitrogen balances and a breakdown of proteins attributed to the combined effect of increased calorie expenditure and to the destruction of the tissues. The ' toxic destruction of proteins' appe...

let $g$ be a finite group and let $text{cd}(g)$ be the set of all‎ ‎complex irreducible character degrees of $g$‎. ‎b‎. ‎huppert conjectured‎ ‎that if $h$ is a finite nonabelian simple group such that‎ ‎$text{cd}(g) =text{cd}(h)$‎, ‎then $gcong h times a$‎, ‎where $a$ is‎ ‎an abelian group‎. ‎in this paper‎, ‎we verify the conjecture for‎ ‎${f_4(2)}.$‎

Abstract. Results of laboratory experiments are presented in which a finite suspension of sawdust particles was released instantaneously into a rectangular channel immersed in a water tank. Two kinds of gravity currents were studied: currents with or without entrainment of particles from the bed. Experiments were repeated for two slopes: 30 and 45. We observed that the velocity of the front was...

This result has been refined considerably by a number of authors. Wietandt and Huppert [14] introduced the notion of multiple primitivity and (t+ 89 transitivity. Wagner [13] showed that H is in fact t-fold transitive if n t is an even number and t > 3, and Saxl [8] proved that this is also true if t > 4 and n < 106. The only known examples of triply transitive groups with only doubly transitiv...

Huppert et al. analyzed a simple model describing bottom-up control of phytoplankton blooms. While we appreciate the mathematical aspects of this article, we feel that the fit of their model to data of Lake Kinneret is overly optimistic because the time axis was rescaled in an arbitrary way. Furthermore, one of the main conclusions of the article (bottom-up control is more likely to occur than ...

Abstract We consider groups of the form $${G} = {AB}$$ G = AB with two locally cyclic subgroups A and B . The structure these is determined in cases when are both periodic or one them other not. Together a previous study case where torsion-free, this gi...