ORCID Profile
0000-0001-8355-6853
Current Organisation
Bu Ali Sina University
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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: Elsevier BV
Date: 12-2021
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: Elsevier BV
Date: 04-2019
Publisher: Informa UK Limited
Date: 21-11-2016
Publisher: Wiley
Date: 07-06-2020
DOI: 10.1002/JCD.21738
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: Springer Science and Business Media LLC
Date: 07-10-2011
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: 03-02-2020
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: Springer Science and Business Media LLC
Date: 20-03-2015
Publisher: Elsevier BV
Date: 08-2022
Publisher: Springer Science and Business Media LLC
Date: 03-2005
DOI: 10.1007/BF02936052
Publisher: Elsevier BV
Date: 2012
Publisher: Springer Science and Business Media LLC
Date: 21-06-2022
Publisher: University of Primorska Press
Date: 12-12-2019
Publisher: European Mathematical Society - EMS - Publishing House GmbH
Date: 22-12-2017
DOI: 10.4171/RSMUP/138-6
No related grants have been discovered for Ashraf Daneshkhah.