Results 11 to 20 of about 181 (30)
A characterization of projective special unitary group U3(5) by nse
Arab Journal of Mathematical Sciences, 2014 Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G) = {sk∣k ∈ ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are unique determined by nse(G).
Shitian Liu
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Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
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Generators for maximal subgroups of Conway group Co1
Open Mathematics, 2019 The Conway groups are the three sporadic simple groups Co1, Co2 and Co3. There are total of 22 maximal subgroups of Co1 and generators of 6 maximal subgroups are provided in web Atlas of finite simple groups.
Yasin Faisal +3 more
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Associativity of the Commutator Operation in Groups [PDF]
, 2008 The study of associativity of the commutator operation in groups goes back to some work of Levi in 1942. In the 1960's Richard J. Thompson created a group F whose elements are representatives of the generalized associative law for an arbitrary binary ...
Guzman, Fernando
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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 = 2α3β + 1, where α ≥ 1, β ≥ 0, and p ≥ 7 is a prime number. Then we prove that the simple groups An, where n = p, p + 1, or p + 2, and finite groups Sn, where n = p, p + 1, are also uniquely determined by their order components. As corollaries of these results, the validity of a conjecture of J. G.
Amir Khosravi, Behrooz Khosravi
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Maximal subgroups of finite groups
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 311-314, 1990., 1989 In finite groups maximal subgroups play a very important role. Results in the literature show that if the maximal subgroup has a very small index in the whole group then it influences the structure of the group itself. In this paper we study the case when the index of the maximal subgroups of the groups have a special type of relation with the Fitting ...
S. Srinivasan
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All simple groups with order from 1 million to 5 million are efficient [PDF]
, 2014 There is much interest in finding short presentations for the finite simple groups. Indeed it has been suggested that all these groups are efficient in a technical sense.
Campbell, C. M. +3 more
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On groups with the same character degrees as almost simple groups with socle the Mathieu groups [PDF]
, 2016 Let $G$ be a finite group and $cd(G)$ denote the set of complex irreducible character degrees of $G$. In this paper, we prove that if $G$ is a finite group and $H$ is an almost simple group whose socle is Mathieu group such that $cd(G) =cd(H)$, then ...
Alavi, Seyed Hassan +2 more
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On a class of generalised Schmidt groups [PDF]
, 2015 In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An $A_5$-free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three ...
A. Ballester-Bolinches +14 more
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Character degree sums in finite nonsolvable groups
, 2010 Let N be a minimal normal nonabelian subgroup of a finite group G. We will show that there exists a nontrivial irreducible character of N of degree at least 5 which is extendible to G.
Magaard, Kay, Tong-Viet, Hung P.
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