Manipal Academy of Higher Education

Strengthening healthy aging through community-based integrated care: A study protocol evaluating functional decline and quality of life among middle-aged and elderly tribals in Jharkhand

Background India is undergoing a significant demographic shift, with the elderly population (60+) projected to reach 20% by 2050. Tribal populations, such as those in Jharkhand, face accumulated disparities, including premature aging, lower life expectancy (63.9 years), and a dua...

Unsupervised brain tumor MRI image grouping using deep autoencoder embeddings and K-means clustering

Abstract The severity assessment of brain tumors is an important aspect of clinical decision-making. However, it often depends on expert interpretation and annotated data. The proposed framework organizes brain tumor MRI images into three latent imaging-pattern groups using deep...

A finite modular lattice not embeddable in the lattice of formations of finite groups

We give a negative answer to Kourovka Problem 13.51 by constructing a modular lattice with 184 elements that admits no injective map preserving binary meets and joins into the lattice of formations of finite groups. The counterexample is the dual of an explicit incidence lattice...

A nonstandard representation of PE₃(ℤ) by rational permutation matrices

Reduction modulo two and the action on the seven nonzero vectors of $\mathbb F_2^3$ define a homomorphism $PE_3(\mathbb Z)\longrightarrow\operatorname{GL}_7(\mathbb Q)$, where $PE_3(\mathbb Z)$ is the image of the elementary group in the ambient projective general linear group. W...

Normalized root words and reflective power-subgroup completion

Fix a prime $p$, and let $P_n(G)$ be the subgroup generated by the $p^n$-th powers in a group $G$. We consider the full category of groups admitting a two-variable word $w$ and an integer $r\geq1$ such that $w(a,b)^p=a^p b^{p^r}$ and $w(a,1)=a$. Every nilpotent group belongs to t...

Normalized root words and reflective power-subgroup completion

Fix a prime $p$, and let $P_n(G)$ be the subgroup generated by the $p^n$-th powers in a group $G$. We consider the full category of groups admitting a two-variable word $w$ and an integer $r\geq1$ such that $w(a,b)^p=a^p b^{p^r}$ and $w(a,1)=a$. Every nilpotent group belongs to t...

Centralizers of maximal order and nilpotent normal subgroups

We give a negative answer to Kourovka Problem 14.67. We construct a finite group $G$ of order $660602880$, an involution $a\in G$, and a nilpotent normal subgroup $H$ of order $16384$ such that $|C_G(a)|=41287680\ge |C_G(g)|$ for every $g\ne1$, but $H\nleq C_G(a)$. The group $H$...

A nonstandard representation of PE₃(ℤ) by rational permutation matrices

Reduction modulo two and the action on the seven nonzero vectors of $\mathbb F_2^3$ define a homomorphism $PE_3(\mathbb Z)\longrightarrow\operatorname{GL}_7(\mathbb Q)$, where $PE_3(\mathbb Z)$ is the image of the elementary group in the ambient projective general linear group. W...

Computable two-variable laws for finite groups with abelian Sylow subgroups

For each prime $p$ we construct a computable sequence $a_{p,n}$ of words in two variables such that, for every finite group $G$ and every $n\geq |G|$, the identity $a_{p,n}=1$ holds in $G$ if and only if the Sylow $p$-subgroups of $G$ are abelian. When this condition fails, one f...

Centralizers of maximal order and nilpotent normal subgroups

We give a negative answer to Kourovka Problem 14.67. We construct a finite group $G$ of order $660602880$, an involution $a\in G$, and a nilpotent normal subgroup $H$ of order $16384$ such that $|C_G(a)|=41287680\ge |C_G(g)|$ for every $g\ne1$, but $H\nleq C_G(a)$. The group $H$...

Demystifying consumers' climate change engagement: a knowledge–attitude–practice perspective

Purpose Despite growing interest in climate change engagement, its nature and dynamics remain poorly understood. Addressing this gap, we conceptualise consumers' climate change engagement (CCCE) and explore its role in enhancing sustainable consumption. Design/methodology/approac...

Compact families of noncompact subgroups and clopen partial orders

For a locally compact Hausdorff group \(G\), let \(\mathcal N(G)\) be the space of closed noncompact subgroups with the full Vietoris topology. We prove that a compact Hausdorff space \(X\) embeds in some \(\mathcal N(G)\) if and only if \(X\) admits a partial order with clopen p...

Identities of two-generated metabelian groups and finite conditions on Laurent ideals

Let $M$ be the free metabelian group of rank two and let $R=\mathbb{Z}[X^{\pm1},Y^{\pm1}]$. We classify the varieties generated by two-generated metabelian groups by pairs $(n,I)$, where $n\ge0$ and $I$ is an ideal of $R$. Admissibility is expressed by four power conditions and t...

Compact families of noncompact subgroups and clopen partial orders

For a locally compact Hausdorff group \(G\), let \(\mathcal N(G)\) be the space of closed noncompact subgroups with the full Vietoris topology. We prove that a compact Hausdorff space \(X\) embeds in some \(\mathcal N(G)\) if and only if \(X\) admits a partial order with clopen p...

Health-facility readiness and provider-perceived barriers and facilitators to animal-bite management in Mangalore, India: a mixed-methods study

Abstract Rabies remains a global fatal disease yet fully preventable zoonotic disease, with India accounting for a substantial share of global deaths. Timely and full post exposure prophylaxis following animal bites is crucial, but its effective delivery depends mainly on the rea...

Graft Biology in the CRISPR Era: From Tissue Fusion to Genome Compatibility

ABSTRACT Plant lineage has traditionally constrained grafting compatibility, with monocots generally considered incompatible because of their dispersed vascular bundles and limited secondary growth. Recent studies have shown that embryonic grafting can establish successful graft...

Power Scavenging for Strengthening the Life Cycle of Cooperative Devices in Correlated Hybrid Fading Environment

Abstract In next-generation wireless communication networks, end users demand higher throughput, improved reliability, and lower energy consumption for battery-operated devices. To improve the reliability and throughput of next-generation communication, drones are integrated with...

Thermal and Acoustic Properties of Flax and Hemp Epoxy Bio-Composites Fabricated Using Vacuum-Assisted Resin Infusion Moulding

Synthetic fibre composites deliver high mechanical performance at a substantial energy and carbon cost, motivating a shift to renewable reinforcements. Flax and hemp are credible candidates, but their uptake is constrained by thermal stability and inherent combustibility, and the...

Harmonization and fragmentation in competing ESG materiality regimes and their implications for sustainability reporting

Abstract Purpose The rapid development of ESG reporting practices raises cross-border pressures regarding convergence toward sustainability reporting, in which materiality plays an important role amid competing frameworks of regulation. The difference in perceptions about the fin...

A scoping review with a conceptual framework for the taxonomy, mapping and circular regeneration of urban wastescapes

Abstract Rapidly urbanising cities and towns has posed increasing pressure on the available land, rendering it a scarce and highly valuable resource in the contemporary era. However, this scenario presents a paradox. While some land parcels within city cores remain abandoned, und...