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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 20 of 28 for “"simple groups"”.
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Progenitors Related to Simple Groups
… methods of finding new presentations of finite groups, particularly nonabelian simple groups. We have presented several progenitors such as 2^{*8}:Z_4 wr Z_2, 3^{*3}:_m L(2,7), 2^{*4}:[2:2^2], 2^{*11}:D_{11} and many more on which we've found the mathieu group M12 and 2*[M21:2^2] among their …
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Simple Groups and Related Topics
… symmetric presentations of several important groups. We have investigated permutation and monomial progenitors 2<sup>*8</sup>: (2<sup>3</sup>: 2<sup>2</sup>), 2*9: (3<sup>2</sup>: 2<sup>4</sup>), 2<sup>*10</sup>: (2<sup>4</sup>: (2 × 5)), 5<sup>*4</sup>:<sub>m</sub> (2<sup>3</sup>: …
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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS
… is to show constructions of some of the sporadic groups such as the Mathieu group, M<sub>12</sub>, J<sub>1</sub>, Projective Special Linear groups, PSL(2,8), and PSL(2,11), Unitary group U(3,3) and many other non-abelian simple groups. Our purpose is to find all simple non-abelian groups as …
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On Simple Groups Related to Zassenhaus Groups
Made available in DSpace on 2014-12-09T22:17:52Z (GMT). No. of bitstreams: 1 7000865.pdf: 1820776 bytes, checksum: 98a568f579f517ccb0f7ecef7129fae2 (MD5) Previous issue date: 1969
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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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Chiral polytopes arising from almost-simple groups with socle PSL(2, q)
… Many results have been obtained for almost simple groups and atlases for small groups have been drawn up. However, not much is known about chiral polytopes, which are polytopes that have all possible rotational symmetries but no reflections. The purpose of this thesis is to investigate the …
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Genus 0, 1, 2 actions of some almost simple groups of lie rank 2
<p>Please see the paper.</p> <p>Thanks.</p>
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Compactness of the space of marked groups and examples of L2-Betti numbers of simple groups
… n ≥ 2 and every ε ≥ 0 there exists an infinite simple group Q generated by n elements such that β(2)(Q) ≥ n − 1 − ε. As a corollary, we can prove that for every positive integer n 1 there exists a simple group Q with d(Q) = n. In the proof of this theorem, I added the details to the original …
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Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
… of the conjugacy classes of extension groups by the method of coset analysis. The Clifford theory which provide the basis for the theory of Fischer-Clifford matrices is discussed in detail. Some of the properties of these Fischer-Clifford matrices which make their calculation much …
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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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An Introduction to S(5,8,24)
… designs, error-correcting codes, finite simple groups, and sphere packings in a truly remarkable way. This thesis discusses the underlying structure of S(5,8,24), its construction via the (24,12) Golay code, as well its automorphism group, which is the Mathieu group M24, a member of the …
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Finite groups with a special 2-generator property, and order of centralizers in finite groups
"This paper deals with finite groups, and has two parts. In part I J. L. Brenner and James Wielgold (I,3) defined a finite nonabelian group G as lying in $\Gamma\sb1\sp{(2)}$ (spread one-two) if for every 1 $\not=$ x $\in$ G, either x is an involution and G = $\langle$x,y$\rangle$ for some y $\in$ …
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Strong simplicity of groups and vertex - transitive graphs
… we introduce the concept of quasi-normal subgroups in groups. This is done since the symmetries of vertex-transitive graphs are intimately linked to those, fait accompli, of groups. With this, we ask if the concept of strongly simple groups has a place for consideration.
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Homormophic Images and their Isomorphism Types
… The homomorphic images discovered include Linear groups, Alternating groups, and two sporadic simple groups J<sub>1</sub> and J<sub>2</sub>X2 where J<sub>1</sub> is the smallest Janko group and J<sub>2</sub> is the second Janko sporadic group.</p>
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SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS
… presentations of several finite nonabelian simple groups including linear groups, unitary groups, orthogonal groups, and sporadic groups. We have constructed interesting groups found using the technique of double coset enumeration and found the isomorphic types of the numerous groups that …
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An atlas of characteristic zero representations
… of low-dimensional representations of quasisimple groups in cross-characteristic fields by Hiss and Malle, we construct with a computer over 650 representations of finite simple groups. Explicit matrices for these representations are available on the Internet and are included on an attached …
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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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