Results 1 to 10 of about 244 (73)
Astrovirus Infection in Cattle with Nonsuppurative Meningoencephalitis in South Korea. [PDF]
Viruses, 2021 Neurological diseases in cattle can be caused by several infectious agents. Astroviruses are increasingly recognized as the causative agent of encephalitis in various animals, including humans. In this study, a neuroinvasive astrovirus (BoAstV 20B05) was
Lee SY +8 more
europepmc +3 more sources
Groups of prime degree and the Bateman–Horn Conjecture [PDF]
Expositiones mathematicae, 2021 As a consequence of the classification of finite simple groups, the classification of permutation groups of prime degree is complete, apart from the question of when the natural degree (q − 1)/(q − 1) of PSLn(q) is prime.
G. Jones, A. Zvonkin
semanticscholar +1 more source
Base sizes of primitive groups of diagonal type
Forum of Mathematics, Sigma, 2023 Let G be a permutation group on a finite set $\Omega $ . The base size of G is the minimal size of a subset of $\Omega $ with trivial pointwise stabiliser in G. In this paper, we extend earlier work of Fawcett by determining the precise base
Hong Yi Huang
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The maximal size of a minimal generating set
Forum of Mathematics, Sigma, 2023 A generating set for a finite group G is minimal if no proper subset generates G, and $m(G)$ denotes the maximal size of a minimal generating set for G. We prove a conjecture of Lucchini, Moscatiello and Spiga by showing that there exist $a,b>
Scott Harper
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The edge-regular complete maps
Open Mathematics, 2020 A map is called edge-regular if it is edge-transitive but not arc-transitive. In this paper, we show that a complete graph Kn{K}_{n} has an orientable edge-regular embedding if and only if n=pd>3n={p}^{d}\gt 3 with p an odd prime such that pd≡3{p}^{d ...
Yu Xue, Lou Ben Gong
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PERMUTABLE SUBGROUPS OF GROUPS OF ORDER 16
International Journal of Apllied Mathematics, 2019 A subgroup H of a group G is said to be permutable subgroup if and only if HK = KH for every subgroup K of G. Certainly, every normal subgroup is permutable. The converse is not true.
Bilal Naser Al-Hasanat +2 more
semanticscholar +1 more source
Characterization of Frobenius Groups of Special Type [PDF]
, 2006 We define a Con-Cos group G to be one having a proper normal subgroup N whose cosets other than N itself are conjugacy classes. It follows easily that N = G’, the derived group of G.
Muktibodh, Arun S.
core +1 more source
Some new results on the join graph of given groups
Mathematica, 2018 Recently, H. Ahmadi et al. defined the join graph associated to a finite group. They studied this graph not only on graph theoretic points, but also on group theoretic cases.
A. Asrari, B. Tolue
semanticscholar +1 more source
Finite groups with star-free noncyclic graphs
Open Mathematics, 2019 For a finite noncyclic group G, let Cyc(G) be the set of elements a of G such that 〈a, b〉 is cyclic for each b of G. The noncyclic graph of G is a graph with the vertex set G ∖ Cyc(G), having an edge between two distinct vertices x and y if 〈x, y〉 is not
Ma Xuanlong, Walls Gary L., Wang Kaishun
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On the compositum of all degree d extensions of a number field [PDF]
, 2013 Let k be a number field, and denote by k^[d] the compositum of all degree d extensions of k in a fixed algebraic closure. We first consider the question of whether all algebraic extensions of k of degree less than d lie in k^[d]. We show that this occurs
Gal, Itamar, Grizzard, Robert
core +2 more sources