Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 16 of 16 for “"simple group"”.
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Dade's Conjecture for the McLaughlin Simple Group
… with counting characters in the blocks of finite groups. Specifically, Dade's so-called Ordinary Conjecture asserts that if a finite group G has trivial p-core, and B is a p-block of G of positive defect, then the number k(B,d) of complex irreducible characters with fixed defect d belonging to B …
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Dade's Conjecture for the McLaughlin Simple Group
… with counting characters in the blocks of finite groups. Specifically, Dade's so-called Ordinary Conjecture asserts that if a finite group G has trivial p-core and B is a p-block of G of positive defect, then the number $k(B,\ d)$ of complex irreducible characters with fixed defect d belonging to …
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The Mod -3 Cohomology Ring of the O'Nan Sporadic Simple Group
Made available in DSpace on 2015-09-28T15:20:32Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 9971133.pdf: 2632403 bytes, checksum: eb61ec5e102acf5fb7e5bd746d5c8b41 (MD5) Previous issue date: 2000
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A 3-local characterization of the group of the Thompson sporadic simple group
… thesis we characterize the Thompson sporadic simple group by its 3-local structure. We study a faithful completion, \(G\), of an amalgam of type F\(_3\) with the property that \(N_G(Z(L_\beta)) = G_\beta\). We first assume no additional 3-local structure and use a \(\kappa\)-proper hypothesis …
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Compactness of the space of marked groups and examples of L2-Betti numbers of simple groups
… Grigorchuk [1], which refers to geometrical group theory and after the first proof I will give a more topological proof. In the second part, our goal is to prove a theorem by Denis Osin and Andreas Thom [2]: for every integer n ≥ 2 and every ε ≥ 0 there exists an infinite simple group Q …
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Odd characterizations of almost simple groups - 3-local and character theoretic methods
… thesis we discuss methods of recognizing finite groups by the structure of normalizers of certain 3-subgroups. We explain a method for characterizing groups using character theoretic and block theoretic methods and we use these methods to characterize Alt(9). Furthermore, we describe a particular …
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Structure of Intermediate C*-subalgebras of discrete group actions
… for commutative unital $\Gamma$-simple $\Gamma$-$C^*$-algebras $\mathcal{A}$. In particular, we show that if $\Gamma$ is a $C^*$-simple group, then every such intermediate $C^*$-sub-algebra $\mathcal{B}$ is simple. Continuing our perusal, we find examples of inclusions …
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Orders of Perfect Groups with Dihedral Involution Centralizers
Let G be a finite group that is equal to its commutator subgroup, and suppose that G contains an element of order 2 whose centralizer in G is dihedral of 2-power order. We study the cases where this centralizer is dihedral of order 8, 16, 32, 64, 128, or 256. It is true in each case that this …
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Homomorphic Images And Related Topics
… Robert T Curtis, is a special type of infinite group formed by a semi-direct product of a free group m<sup>*</sup><sup>n</sup> and a transitive permutation group of degree n. Since progenitors are infinite, we add necessary relations to produce finite homomorphic images. Curtis found that any …
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Symmetric Presentations and Generation
… symmetric presentations for finite non-abelian simple groups. We will discuss many permutation progenitors, including but not limited to 2<sup>*14</sup> : <em>D</em><sub>28</sub>, 2<sup><em>∗</em>9</sup> : 3<sup><em>•</em></sup>(3<sup>2</sup>), 3<sup><em>∗</em>9</sup> : …
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Rank 3 permuation characters and maximal subgroups
Let G be a transitive permutation group acting on a finite set E. Let P be a stabilizer in G of a point in E. We say G is primitive rank 3 on E if P is maximal in G and P has exactly three orbits on E. For any subgroup H of G, we denote by 1 \(\frac{G}{H}\) the permutation character or permutation …
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Workplace health promotion: Employee and employer perspectives
PURPOSE This qualitative focus group study defines the experience of a Workplace Health Promotion (WHP) programme from employee and employer perspectives. METHOD Participants who completed a 10-week WHP programme were asked their opinions and perceptions of the programme. The following questions …
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Boolean ultrapowers
… Morel and Scott [1962] of an ultrapower of a simple group which is not simple, Burris and Jeffers [1978] investigate necessary and sufficient conditions for a Boolean ultrapower to be simple, or subdirectly irreducible, provided that the language is countable. Finally, Jipsen, Pinus and Rose …
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The extent, impact and stability of cognitive functioning in adult congenital heart disease
… performance across structural complexity groups, iii) identify factors associated with cognition in ACHD. The follow-up study aimed to evaluate the stability of cognitive functioning over time and identify predictors of change. Three hundred and ten ACHD patients from the Heart Hospital, …
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In good heart”: a study of the factors associated with health- related quality of life in adult congenital heart disease.
… and fourteen individuals, from four diagnostic groups (Simple, Tetralogy of Fallot-ToF, Transposition of the Great Arteries-TGA, & Single Ventricle-SV) were recruited from The Heart Hospital, London and completed the cross-sectional study. Clinical measures were collected by a consultant …
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Invariant embeddings of the Deligne-Lusztig curves with applications
… study Deligne-Lusztig curves associated to the simple groups $\AAA$, $\BB$, and $\GG$ with applications in algebraic geometry codes, hash families, and polar codes. This thesis consists of four parts, the first part presents our result in finding smooth embeddings for the Deligne-Lusztig curves …