Results 1 to 10 of about 94 (67)
A new characterization of some alternating and symmetric groups
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 45, Page 2863-2872, 2003., 2003 We suppose that p = 2 α 3 β +1, where α ≥ 1, β ≥ 0, and p ≥ 7 is a prime number. Then we prove that the simple groups An ,w heren = p, p +1, or p +2, and finite groups Sn ,w heren = p, p +1, are also uniquely determined by their order components.
A. Khosravi, B. Khosravi
semanticscholar +2 more sources
Veterinary Dermatology, Volume 32, Issue 6, Page 668-e178, December 2021., 2021 Background Antimicrobial resistance in Staphylococcus pseudintermedius (SP) and the prevalence of meticillin‐resistant SP (MRSP) is increasing in dogs worldwide. Objectives To evaluate the influence of hospital size on antimicrobial resistance of SP and whether restricted use of antimicrobials based on antibiograms could reduce the identification of ...
Keita Iyori +5 more
wiley +1 more source
Some new characterizations of finite p-nilpotent groups
Open Mathematics, 2022 In this article, some new sufficient conditions of p-nilpotency of finite groups are obtained by using c-normality and Φ-supplementary of the maximal or the 2-maximal subgroups of the Sylow p-subgroups.
Xie Fengyan, Li Jinbao
doaj +1 more source
An approach to Quillen’s conjecture via centralisers of simple groups
Forum of Mathematics, Sigma, 2021 For any given subgroup H of a finite group G, the Quillen poset ${\mathcal {A}}_p(G)$ of nontrivial elementary abelian p-subgroups is obtained from ${\mathcal {A}}_p(H)$ by attaching elements via their centralisers in H.
Kevin Iván Piterman
doaj +1 more source
p-parts of co-degrees of irreducible characters
, 2021 For a character χ of a finite group G , the co-degree of χ is χc (1) = [G :kerχ] χ(1) . Let p be a prime and let e be a positive integer. In this paper, we first show that if G is a p-solvable group such that pe+1 χc (1), for every irreducible character ...
Roya Bahramian, N. Ahanjideh
semanticscholar +1 more source
Extensions of homomorphisms between localities
Forum of Mathematics, Sigma, 2021 We show that the automorphism group of a linking system associated to a saturated fusion system $\mathcal {F}$ depends only on $\mathcal {F}$ as long as the object set of the linking system is $\mathrm {Aut}(\mathcal {F})$ -invariant.
Ellen Henke
doaj +1 more source
OD-characterization of the automorphism groups of simple K3-groups
Journal of Inequalities and Applications, 2013 The degree pattern of a finite group G associated to its prime graph has been introduced in (Moghaddamfar et al. in Algebra Colloq. 12(3):431-442, 2005) and denoted by D(G).
Yanxiong Yan +3 more
semanticscholar +2 more sources
GENERATING MAXIMAL SUBGROUPS OF FINITE ALMOST SIMPLE GROUPS
Forum of Mathematics, Sigma, 2020 For a finite group $G$, let $d(G)$ denote the minimal number of elements required to generate $G$. In this paper, we prove sharp upper bounds on $d(H)$ whenever $H$ is a maximal subgroup of a finite almost simple group.
ANDREA LUCCHINI +2 more
doaj +1 more source
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 657-673, August 2020., 2020 Abstract Every finite simple group can be generated by two elements, and Guralnick and Kantor proved that, moreover, every nontrivial element is contained in a generating pair. Groups with this property are said to be 32‐generated. Thompson's group V was the first finitely presented infinite simple group to be discovered.
Casey Donoven, Scott Harper
wiley +1 more source
A new characterization of L2(p2)
Open Mathematics, 2020 For a positive integer n and a prime p, let np{n}_{p} denote the p-part of n. Let G be a group, cd(G)\text{cd}(G) the set of all irreducible character degrees of GG, ρ(G)\rho (G) the set of all prime divisors of integers in cd(G)\text{cd}(G), V(G)=pep(G)|
Wang Zhongbi +4 more
doaj +1 more source