We study embeddings $J \rightarrow G$ of simple linear algebraic groups with the following property: components $J$ module Lie($G$)/Lie($J$) are all minuscule representations $J$. One family examples occurs when group $G$ has roots two different lengths and is subgroup generated by long roots. classify such = SL_2$ SL_3$, show how each embedding implies existence exceptional structures on grade...

An exceptional point in the moduli space of compact Riemann surfaces is a unique surface class whose full automorphism group acts with a triangular signature. A surface admitting a conformal involution with quotient an elliptic curve is called elliptic-hyperelliptic; one admitting an anticonformal involution is called symmetric. In this paper, we determine, up to topological conjugacy, the full...

Let $L := U_3(11)$. In this article, we classify groups with the same order and degree pattern as an almost simple group related to $L$. In fact, we prove that $L$, $L:2$ and $L:3$ are OD-characterizable, and $L:S_3$ is $5$-fold OD-characterizable.

SUMMARY In this issue of Cancer Discovery, AI-Ahmadie and colleagues identify a somatic mutation in the RAD50 gene as a likely contributing factor to an unusual curative response to systemic combination therapy employing the DNA-damaging agent irinotecan and a checkpoint kinase 1 inhibitor in a patient with recurrent, metastatic small-cell cancer. This study highlights the importance of in-dept...

An exceptional point in moduli space is a unique surface class whose full group of conformal automorphisms acts with a triangular signature. In this paper we determine, up to topological conjugacy, the full group of conformal and anticonformal automorphisms of a symmetric exceptional point in the elliptic-hyperelliptic locus in moduli space. We determine the number of ovals of any symmetry of s...

objectives: auditory perception or hearing ability is critical for children in acquisition of language and speech hence hearing loss has different effects on individuals’ linguistic perception, and also on their functions. it seems that deaf people suffer from language and speech impairments such as in perception of complex linguistic constructions. this research was aimed to study the percepti...