ORCID Profile
0000-0002-6442-2507
Current Organisation
Bu Ali Sina University
Does something not look right? The information on this page has been harvested from data sources that may not be up to date. We continue to work with information providers to improve coverage and quality. To report an issue, use the Feedback Form.
Publisher: Elsevier BV
Date: 12-2021
Publisher: Springer Science and Business Media LLC
Date: 30-04-2020
Publisher: Cambridge University Press (CUP)
Date: 23-05-2016
DOI: 10.1017/S0004972716000253
Abstract: Let $G$ be a finite group and $\\mathsf{cd}(G)$ denote the set of complex irreducible character degrees of $G$ . We prove that if $G$ is a finite group and $H$ is an almost simple group whose socle is a sporadic simple group $H_{0}$ and such that $\\mathsf{cd}(G)=\\mathsf{cd}(H)$ , then $G^{\\prime }\\cong H_{0}$ and there exists an abelian subgroup $A$ of $G$ such that $G/A$ is isomorphic to $H$ . In view of Huppert’s conjecture, we also provide some ex les to show that $G$ is not necessarily a direct product of $A$ and $H$ , so that we cannot extend the conjecture to almost simple groups.
Publisher: Springer Science and Business Media LLC
Date: 07-08-2020
Publisher: World Scientific Pub Co Pte Lt
Date: 06-04-2023
DOI: 10.1142/S021949881650033X
Abstract: An element of a group G is called semi-rational if there is a natural number m such that each generator of 〈x〉 belongs to the conjugacy class of G containing x or x m . If all elements of G are semi-rational, then G is called a semi-rational group. In this paper, we study semi-rational Frobenius groups G and obtain results concerning effect of semi-rationality property on the kernel and complement of G. In particular, we show that ∣π(G)∣ ≤ 5 which answers Problem 2 in [D. Chillag and S. Dolfi, Semi-rational solvable groups, J. Group Theory13(4) (2010) 535–548] for semi-rational Frobenius groups.
Publisher: Wiley
Date: 07-06-2020
DOI: 10.1002/JCD.21738
Publisher: Informa UK Limited
Date: 21-11-2016
Publisher: Springer Science and Business Media LLC
Date: 04-08-2016
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 2011
DOI: 10.4171/RSMUP/126-11
Publisher: Cambridge University Press (CUP)
Date: 11-04-2013
DOI: 10.1017/S1446788712000535
Abstract: Let $G$ denote a finite group and $\\mathrm{cd} (G)$ the set of irreducible character degrees of $G$ . Huppert conjectured that if $H$ is a finite nonabelian simple group such that $\\mathrm{cd} (G)= \\mathrm{cd} (H)$ , then $G\\cong H\\times A$ , where $A$ is an abelian group. He verified the conjecture for many of the sporadic simple groups and we complete its verification for the remainder.
Publisher: Informa UK Limited
Date: 12-05-2023
Publisher: Springer Science and Business Media LLC
Date: 09-2001
DOI: 10.1007/BF02941995
Publisher: Walter de Gruyter GmbH
Date: 2011
DOI: 10.1515/JGT.2010.052
Publisher: World Scientific Pub Co Pte Ltd
Date: 08-06-2022
DOI: 10.1142/S021949882350192X
Abstract: Let [Formula: see text] be a finite group and [Formula: see text] denote the set of complex irreducible character degrees of [Formula: see text]. In this paper, we prove that if [Formula: see text] is a finite group and [Formula: see text] is an almost simple group with socle [Formula: see text] such that [Formula: see text], then [Formula: see text] and [Formula: see text] is isomorphic to [Formula: see text].
Publisher: Elsevier BV
Date: 05-2002
Publisher: Springer Science and Business Media LLC
Date: 20-03-2015
Publisher: Elsevier BV
Date: 03-2015
Publisher: Elsevier BV
Date: 04-2019
Publisher: Springer Science and Business Media LLC
Date: 07-2002
Publisher: The Electronic Journal of Combinatorics
Date: 23-04-2021
DOI: 10.37236/9366
Abstract: In this article, we investigate symmetric $(v,k,\\lambda)$ designs $\\mathcal{D}$ with $\\lambda$ prime admitting flag-transitive and point-primitive automorphism groups $G$. We prove that if $G$ is an almost simple group with socle a finite simple group of Lie type, then $\\mathcal{D}$ is either the point-hyperplane design of a projective space $\\mathrm{PG}_{n-1}(q)$, or it is of parameters $(7,4,2)$, $(11,5,2)$, $(11,6,3)$ or $(45,12,3)$.
Publisher: University of Primorska Press
Date: 28-02-2023
Publisher: Mathematical Notes
Date: 2023
Publisher: Wiley
Date: 09-11-2022
DOI: 10.1112/BLMS.12744
Abstract: We study point‐block incidence structures for which the point set is an grid. Cameron and the fourth author showed that each block may be viewed as a subgraph of a complete bipartite graph with bipartite parts (biparts) of sizes . In the case where consists of all the subgraphs isomorphic to , under automorphisms of fixing the two biparts, they obtained necessary and sufficient conditions for to be a 2‐design, and to be a 3‐design. We first reinterpret these conditions more graph theoretically, and then focus on square grids, and designs admitting the full automorphism group of . We find necessary and sufficient conditions, again in terms of graph theoretic parameters, for these incidence structures to be ‐designs, for , and give infinite families of ex les illustrating that block‐transitive, point‐primitive 2‐designs based on grids exist for all values of , and flag‐transitive, point‐primitive ex les occur for all even . This approach also allows us to construct a small number of block‐transitive 3‐designs based on grids.
Publisher: Springer Science and Business Media LLC
Date: 09-04-2020
Publisher: Springer Science and Business Media LLC
Date: 03-02-2020
Publisher: Elsevier BV
Date: 2015
Publisher: Springer Science and Business Media LLC
Date: 12-04-2021
Publisher: Elsevier BV
Date: 11-2015
Publisher: Elsevier BV
Date: 08-2022
Publisher: Springer Science and Business Media LLC
Date: 03-2005
DOI: 10.1007/BF02936052
Publisher: University of Primorska Press
Date: 12-12-2019
Publisher: Springer Science and Business Media LLC
Date: 21-06-2022
Publisher: Springer Science and Business Media LLC
Date: 05-10-2022
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 22-12-2017
DOI: 10.4171/RSMUP/138-6
Publisher: Cambridge University Press (CUP)
Date: 27-03-2012
No related grants have been discovered for Seyed Hassan Alavi.