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10.22199/issn.0717-6279-4374

## In this paper, a complete characterization of the unit groups U(F G) of group algebras F G for the abelian groups of order 32, over finite field of characteristic p > 0 has been obtained.

Unit groups of group algebras of Abelian groups of order 32

10.1080/00927872.2021.1893740

## In this article, we give the structures of the unit groups of the finite group algebras of all groups of order 18, i.

Unit groups of group algebras of groups of order 18

10.1007/s10998-021-00402-0

## In this paper, we investigate the unit groups of the fields \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_1 =\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q}, \sqrt{-1} )$$\end{document}L1=Q(2,p,q,-1) and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L_1^+=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q} )$$\end{document}L1+=Q(2,p,q).

Unit groups of some multiquadratic number fields and 2-class groups

10.1186/s12939-021-01545-9

## Methods A total of 14 socio-economic variables of 154 large Tertiary Planning Unit groups (LTPUGs) in Hong Kong were obtained from 2016 population by-census.

Measuring health-related social deprivation in small areas: development of an index and examination of its association with cancer mortality

10.1007/978-3-030-56694-4_38

## In this chapter, we now apply our topological and geometric interpretation of discrete groups in our case of interest: quaternion unit groups.

Quaternionic arithmetic groups

10.1007/978-3-030-56694-4_43

## In this final chapter, we consider quotients of the upper half-plane by quaternionic unit groups as generalizations of such quotients from the matrix group (Chapter 40), realizing them as moduli spaces for abelian surfaces with quaternionic multiplication.

QM abelian surfaces

10.1007/s40590-021-00329-z

## In this work we determine the unit groups of the fields $$\mathbb {L}={\mathbb {Q}}(\sqrt{q_1}, \sqrt{q_2}, \sqrt{2},i)$$ L = Q ( q 1 , q 2 , 2 , i ) and $$\mathbb {L}^+={\mathbb {Q}}(\sqrt{q_1}, \sqrt{q_2}, \sqrt{2})$$ L + = Q ( q 1 , q 2 , 2 ).

Unit groups and Iwasawa lambda invariants of some multiquadratic number fields

10.13069/JACODESMATH.935938

## In this paper, we characterize the unit groups of semisimple group algebras $\mathbb{F}_qG$ of non-metabelian groups of order $108$, where $F_q$ is a field with $q=p^k$ elements for some prime $p > 3$ and positive integer $k$.

On unit group of finite semisimple group algebras of non-metabelian groups of order 108

10.1016/j.jsc.2020.05.002

## We present practical algorithms for computing unit groups of smooth curves of low genus.

Computing Unit Groups of Curves

10.1038/s41598-021-87560-w

## Generation 4 of polyamidoamine dendrimer (G4-PAMAM) has several biological effects due to its tridimensional globular structure, repetitive branched amides, tertiary amines, and amino-terminal subunit groups liked to a common core.

Chemical characterization (LC–MS–ESI), cytotoxic activity and intracellular localization of PAMAM G4 in leukemia cells

10.1109/ACCESS.2021.3103205

## This fractal butterfly antenna is constructed by independent fractal unit groups on butterfly antenna, which simplifies the antenna manufacturing process and reduces the manufacturing cost.

Design of Terahertz Detection Antenna With Fractal Butterfly Structure

10.21136/MB.2021.0116-19

## This completes the study of unit groups of semisimple group algebras for groups upto order 72.

On unit group of finite semisimple group algebras of non-metabelian groups up to order 72

10.9734/jamcs/2021/v36i830396

## We give a construction of R whose subset of zero divisors Z(R) satisfies the conditions (Z(R))5 = (0); (Z(R))4 ̸= (0) and determine the structures of the unit groups of R for all its characteristics.

Unit Groups of Classes of Five Radical Zero Commutative Completely Primary Finite Rings

10.1142/S1793557122500590

## In this paper, we give the characterization of the unit groups of semisimple group algebras of some non-metabelian groups of order 120.

Unit group of semisimple group algebras of some non-metabelian groups of order 120

10.1088/1755-1315/747/1/012015

## The subjects of this activity are local communities consisting of business unit groups, youth groups, and managers of Bendungan Lama Pamarayan.

Locality Development Model: Analysis on Community Strength in Planning Business Capacity Development in Panyabrangan Village Based on Local Potentials Historical Buildings of Bendungan Lama Pamarayan

10.1093/ije/dyab168.599

## Job titles were coded at 26–28 weeks' gestation at a 4-digit level according to 353 unit groups in the 2000 UK Standard Occupational Classification.

522Occupational chemical exposures in pregnancy and fetal growth: evidence from the Born in Bradford Study

10.1109/TPS.2021.3078374

## Three-dimensional finite-element simulations, which contain microcoil, unit groups, and coupled contacts, were implemented.

Novel Design of 3-D Microstructure Contact Material Generating Autoexcitation Magnetic Field

10.33263/briac93.919925

## After taking impressions from the left maxillary first premolar and first molar teeth of a jaw model, a total of 20 models were prepared with the use of a 3D printer for single-unit and three-unit groups (a total of 120 samples) and cemented on their relevant dies.

Comparison of Reconstruction of Cement Space in Resin Copings Fabricated with the Use of a 3D Printer in Single- and Three- unit Restorations

10.1007/s10329-019-00746-9

## In addition to the Azarga horses of the one-male unit groups, there are 95 adult male horses who move around alone or form bachelor groups.

10.1016/j.oraloncology.2019.104464

## There were no significant differences between the ICU and specialty ward unit groups with regard to demographic variables including age, gender, co-morbidities, tobacco or alcohol use, prior chemotherapy or radiation therapy treatment.

Use of a non-ICU specialty ward for immediate post-operative management of head and neck free flaps; a randomized controlled trial.

10.1142/s0219498821500109

## In this paper, we study some algebras A whose unit groups 𝒰(A) or subnormal subgroups of 𝒰(A) are (generalized) Engel.

Some algebraic algebras with Engel unit groups

10.1016/J.JALGEBRA.2019.02.036

## These invariants allow for a definition of a generalized tensor induction multiplicative map $\mathcal{T}_{U,\lambda}: B_C(G)\to B_C(H)$ associated to any $C$-monomial $(G,H)$-biset $(U,\lambda)$, which in turn gives a group homomorphism $B_C(G)^\times\to B_C(H)^\times$ between the unit groups of $C$-monomial Burnside rings.

Monomial $G$-posets and their Lefschetz invariants

10.1080/00927872.2018.1527923

## We find that these irreducible generating sets are closely related to those of the unit groups of the monoids.

Generating sets in orthogonal and symplectic rook monoids

10.1093/annweh/wxz077

## The hierarchy followed the Canadian Classification and Dictionary of Occupations (CCDO) classification structure, allowing for exposure estimates to be provided across occupations (seven-digit code), unit groups (four-digit code), and minor groups (three-digit code).

Bayesian Hierarchical Modelling of Individual Expert Assessments in the Development of a General-Population Job-Exposure Matrix.