In this course we will be studying the subgroup structure of the finite alternating and symmetric groups. What does the phrase “study the subgroups of symmetric groups” mean? In this introduction I’ll suggest an answer to that question, and attempt to convince you that answer has some merit. In the process you’ll get some idea of the material we will be covering, and I’ll attempt to motivate th...

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...

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...

let h be a subgroup of a group g. h is said to be s-embedded in g if g has a normal t such that ht is an s-permutable subgroup of g and h ∩ t ≤ h sg, where h denotes the subgroup generated by all those subgroups of h which are s-permutable in g. in this paper, we investigate the influence of minimal s-embedded subgroups on the structure of finite groups. we determine the structure the finite grou...

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...