background: to investigate the relation between serum leptin levels and cerebral infarction (ci) by meta-analysis. materials and methods: scientific literature databases were searched for studies published in chinese and english. after retrieving relevant articles through database searches and screening using predefined selection criteria, high-quality studies related to our research topic were...

The object of this note is to give a very short proof of the following theorem of Ivanov and Schupp. Let H be a finitely generated subgroup of a free group F and the index [F : H ] infinite. Then there exists a nontrivial normal subgroup N of F such that N ∩ H = {1}. As noted in the abstract above the object of this note is to give a new proof of the following theorem of S.V.Ivanov and P.E.Schu...

Let $G$ be a finite group. The prime graph of $G$ is a graph $Gamma(G)$ with vertex set $pi(G)$, the set of all prime divisors of $|G|$, and two distinct vertices $p$ and $q$ are adjacent by an edge if $G$ has an element of order $pq$. In this paper we prove that if $Gamma(G)=Gamma(G_2(5))$, then $G$ has a normal subgroup $N$ such that $pi(N)subseteq{2,3,5}$ and $G/Nequiv G_2(5)$.

introduction: impaired wound healing in diabetic patients is a major clinical problem, which is associated with significant morbidity and mortality. estrogen has positive effects on neoangiogenesis, reepithelialization and cell proliferation. in this research, effect of estrogen on wound healing in diabetic male rats was investigated. methods: this study was performed on male wistar rats (body ...

THEOREM 2. If G is a finite monolithic group with monolith M (in other words, if G is a finite group with a unique minimal normal subgroup M), then Mis a verbal subgroup ofG. These generalize the corresponding results for finite ^-groups established by Weichsel ((4), Theorems 2-1, 2-3). The second answers affirmatively a (privately communicated) question of Sheila Oates. In order to give our de...

Necessary and sufficient conditions for a Markov chain to be ergodic are that the is irreducible aperiodic. This result manifest in case of random walks on finite groups by statement about support driving probability: walk group if only not concentrated proper subgroup, nor coset normal subgroup. The study extends naturally quantum groups, where state algebra functions plays role probability. e...

Abel Stolz and Andreas Thom [Proc. Lond. Math. Soc. 108 (2014), pp. 73–102] stated that the lattice of normal subgroups an ultraproduct finite simple groups is always linearly ordered. This false in this form most cases for classical Lie type. We correct statement case point out a version \enquote*relative bounded generation quasisimple its implications on structure such groups.