A secure identity-based key agreement protocol without key-escrow by Ghoreishi, S. M., Isnin, I. F., Razak, S. A., Chizari, H.

“…In this study, we could propose a new two-party pairing-free identity-based authenticated key agreement protocol over elliptic curve based algebraic groups. We could show that beside of supporting security requirements of key agreement protocols, our proposed protocol could overcome to the inherent problem of identity-based cryptosystems named key escrow. …”

Understanding simple module of some group algebras and path algebras by Aw, Wee Chong

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Roadmap of the Multiplier Method for Partial Differential Equations by Juan Arturo Alvarez-Valdez, Guillermo Fernandez-Anaya

“…It is also an interesting and a relevant method in itself that could possibly give interesting results in areas of mathematics such as modern algebra, group theory, topology, etc. The paper will be structured in such a manner that the last review known for this method will be presented to understand the theoretical framework of the method and then later work done will be presented. …”
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An improved certificateless public key authentication scheme for mobile ad hoc networks over elliptic curves by Kasra-Kermanshahi, S., Salleh, M.

“…In this paper, we improved the performance of ID-RSA by the use of elliptic curve based algebraic groups instead of multiplicative ones over finite fields as the output of bilinear pairings. …”

Graded linearisations by Kirwan, FC, Berczi, Doran, B, Kirwan, FC

“…In this article we describe how Mumford's GIT can be extended effectively to suitable actions of linear algebraic groups which are not necessarily reductive, with the extra data of a graded linearisation for the action. …”

Valued fields, metastable groups by Hrushovski, E, Rideau-Kikuchi, S

“…In the case of ACVF, among definable subgroups of affine algebraic groups, we characterize the groups with stably dominated generics in terms of group schemes over the valuation ring. …”

Counting primes, groups and manifolds by Goldfeld, D, Lubotzky, A, Nikolov, N, Pyber, L

“…The proofs use techniques from number theory, algebraic groups, finite group theory and combinatorics.…”

Towards non-reductive geometric invariant theory by Doran, B, Kirwan, F

“…We study linear actions of algebraic groups on smooth projective varieties X. A guiding goal for us is to understand the cohomology of "quotients" under such actions, by generalizing (from reductive to non-reductive group actions) existing methods involving Mumford's geometric invariant theory (GIT). …”

Finite torsors over strongly $F$-regular singularities by Javier Carvajal-Rojas

“…We prove the existence of a finite local cover $R \subset R^{\star}$ so that $R^{\star}$ is a strongly $F$-regular $k$-germ and: for all finite algebraic groups $G/k$ with solvable neutral component, every $G$-torsor over a big open of $\mathrm{Spec} R^{\star}$ extends to a $G$-torsor everywhere. …”
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Adelic Fourier-Whittaker coefficients and the Casselman-Shalika formula by Tabony, Sawyer

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Self-dual intervals in the Bruhat order by Gaetz, Christian, Gao, Yibo

“…Well-known results of Carrell (in: Algebraic groups and their generalizations: classical methods (University Park, PA, 1991), volume 56 of proceed-ings of symposium on pure mathematics, pp 53–61. …”
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Self-dual intervals in the Bruhat order by Gaetz, Christian, Gao, Yibo

“…Well-known results of Carrell (in: Algebraic groups and their generalizations: classical methods (University Park, PA, 1991), volume 56 of proceedings of symposium on pure mathematics, pp 53–61. …”
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A Study on Soft Multi-Granulation Rough Sets and Their Applications by Saba Ayub, Waqas Mahmood, Muhammad Shabir, Ali N. A. Koam, Rizwan Gul

“…After that, the concept of SMGRSs is applied to a significant part of commutative algebra, group theory. In this respect, the primitive notions of SRA-spaces are defined with the help of two normal soft groups (NSGs). …”
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Semigroup representations: An abstract approach by Greenfield, D, Greenfield, David

Graded blocks of group algebras by Bogdanic, D

Prime ideals of Iwasawa algebras over solvable groups by Jones, A