Abstract Given a finite group G , we denote by $L(G)$ the subgroup lattice of and ${\cal CD}(G)$ Chermak–Delgado . In this note, determine groups such that $|{\cal CD}(G)|=|L(G)|-k$ for $k=1,2$

Notation and Terminology. Given a finite lattice L, the expression L ∼= [H,G] means “there exist finite groups H < G such that L is isomorphic to the interval {K | H 6 K 6 G} in the subgroup lattice of G.” A group G is called almost simple if G has a normal subgroup S P G which is nonabelian, simple, and has trivial centralizer, CG(S) = (e). If H 6 G, then the core of H in G, denoted coreG(H), ...

A group G has Černikov classes of conjugate subgroups if the quotient group G/ coreG(NG(H)) is a Černikov group for each subgroup H of G. An anti-CC-group G is a group in which each nonfinitely generated subgroup K has the quotient group G/ coreG(NG(K)) which is a Černikov group. Analogously, a groupG has polycyclic-by-finite classes of conjugate subgroups if the quotient group G/coreG(NG(H)) i...

In many RFID applications it is necessary to be able to identify the presence of (all) the tags of a predefined group, e.g., to establish that all components of a kit are present. If the interrogation is offline, by RFID readers that do not share any secret keys with the tags, then a record of simultaneous presence, or a grouping proof, has to be generated by the tags themselves. This type of p...

Let l be an oriented link of d components with nonzero Alexander polynomial ∆(u1, . . . , ud). Let Λ be a finite-index subgroup of H1(S− l) ∼= Z, and let MΛ be the corresponding abelian cover of S branched along l. The growth rate of the order of the torsion subgroup of H1(MΛ), as a suitable measure of Λ approaches infinity, is equal to the Mahler measure of ∆.

AIM To evaluate the therapeutic effects of ursodeoxycholic acid (UDCA) on autoimmune hepatitis (AIH). METHODS A total 136 patients who were diagnosed with AIH were included in our study. All of the patients underwent a liver biopsy, and had at least a probable diagnosis on the basis of either the revised scoring system or the simplified scores. Initial treatment included UDCA monotherapy (Gro...

We give a necessary and sufficient condition for pair of parabolic subgroups $P$ $Q$ $G=GL_n(\mathbb{R})$ such that the tensor product any two unitarily induced representations from are tempered. also an $L^p$-estimate matrix coefficients regular on $L^2(G/L)$ when $L$ is Levi subgroup $G$.

Let Γ be a finitely generated residually finite group. Denote by sn(Γ) (resp. tn(Γ)) the number of subgroups (resp. normal subgroups) of Γ of index at most n. In the last two decades the study of the connection between the algebraic structure of Γ and the growth rate of the sequence {sn(Γ)}n=1 has become a very active area of research under the rubric “subgroup growth” (see [L1], [LS] and the r...

OBJECTIVE Increased QT interval dispersion (QTd) is an electrocardiographic parameter shown to be associated with malignant ventricular arrhythmias and sudden death, and QT dispersion corrected for heart rate (QTc) has emerged as a potentially important predictor of cardiac death. Increased QTd has been detected to be directly related to thyroid-stimulating hormone (TSH) levels in overt hypothy...