The generalized Fitting height of a finite group G is the least number h = h∗(G) such that F ∗ h (G) = G, where the F ∗ i (G) is the generalized Fitting series: F ∗ 1 (G) = F ∗(G) and F ∗ i+1(G) is the inverse image of F ∗(G/F ∗ i (G)). It is proved that if G admits a soluble group of automorphisms A of coprime order, then h∗(G) is bounded in terms of h∗(CG(A)), where CG(A) is the fixed-point s...

Perfect isometries and isotypies are constructed for alternating groups between blocks with abelian defect groups and the Brauer correspondents of these blocks. These perfect isometries and isotypies satisfy additional compatibility conditions which imply that an extended Broué conjecture holds for the principal block of an almost simple group with an abelian Sylow psubgroup and a generalized F...

the term reflex epilepsy in reserved for a small subgroup o seizures that occur regularly in response to specific stimuli. our patient is a 20- year old male, who had pleasure, euphoria, loss of conciousness and generalized tonic- clonic convulstion when he watched tv since ten years. during puberty the patient that self-induced reflex epilepsy with photic stimulation, when watching tv or looki...

Assume k (k 2) populations are given. The associated independent random variables have continuous distribution functions with an unknown location parameter. The statistical selection goal is to select a non-empty subset which contains the best population, that is the population with largest value of the location parameter with conndence level P (k ?1 < P < 1). Some distributional results for su...

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Summary The objective of this paper is to introduce a flexible skewed link function for modeling binary data with covariates. The commonly used complementary log-log link is prone to link misspecification because of its...

background: gap junctions (gjs) provide direct intercellular communications that are formed by hexameric protein subunits, called connexin (cx). the role of cxs in epileptogenesis has not received sufficient attention. hippocampus with critical function in epileptogenesis has a wide network of gjs. we examined the protein expression levels of hippocampal cx36 (the prominent cx present between g...