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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 17 of 17 for “"linear groups"”.
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A Characterization of Linear Groups
Made available in DSpace on 2014-12-11T18:23:35Z (GMT). No. of bitstreams: 1 7105282.pdf: 474183 bytes, checksum: 3126aa931606f58810ba4e5f5fc27c1b (MD5) Previous issue date: 1970
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A Classification of Projective Special Linear-Groups
Made available in DSpace on 2014-12-11T18:23:55Z (GMT). No. of bitstreams: 1 7317145.pdf: 1749503 bytes, checksum: 1a64c303c91be931065bf60fba3ff948 (MD5) Previous issue date: 1972
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Flatness of the commutator map on special linear groups
… of the fibers of the commutator map on special linear groups in characteristic zero. Specifically, we show that the fibers over non-central elements all have the same dimension. Also we explain that the fibers over central elements can be of larger dimension and compute how large. We use the …
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On the nilpotent injectors of the general linear groups
… to consist of a unique conjugacy class of subgroups of GL(n,q). It will also be proved that if n $\not=$ 2, then the nilpotent injectors of GL(n,q) are the nilpotent subgroups of maximal order.
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Metacyclic groups of odd order
… of finite soluble primitive permutation groups with metacyclic point stabilizers. A classical result of Galois reduces the problem to that of determining all metacyclic irreducible linear groups over finite prime fields. The central topic of this thesis is a description of a theoretical …
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Metacyclic groups of odd order
… of finite soluble primitive permutation groups with metacyclic point stabilizers. A classical result of Galois reduces the problem to that of determining all metacyclic irreducible linear groups over finite prime fields. The central topic of this thesis is a description of a theoretical …
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Deligne categories and representation stability in positive characteristic
… of the representation theory of symmetric groups Sn, in positive characteristic as n grows to [infinity], with the goal of understanding and generalizing the Deligne categories Rep(St) as well as the theory of FI-modules and representation stability in the positive characteristic setting. …
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Homormophic Images and their Isomorphism Types
… given. 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
… 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 appeared …
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Chain Conditions for Subgroups of Infinite Order or Index
Groups with max-infinityi or min-infinityi for i=empty,s,n are the subject of this dissertation. Abelian, nilpotent, and solvable groups with max-infinity or min-infinity are examined in detail and structure theorems are given in each case. We then characterize the groups with max-infinity or …
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On groups and initial segments in nonstandard models of Peano Arithmetic
This thesis concerns M-finite groups and a notion of discrete measure in models of Peano Arithmetic. First we look at a measure construction for arbitrary non-M-finite sets via suprema and infima of appropriate M-finite sets. The basic properties of the measures are covered, along with …
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CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES
… of these images which include, the Mathieu groups M<sub>11</sub>, M<sub>12</sub>, the 4-fold cover of the Mathieu group M<sub>22</sub>, 2 x L<sub>2</sub>(8), and L<sub>2</sub>(13). Moreover, we have given constructions, by using the technique of double coset enumeration, for some of the …
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Automorphism Groups of Quadratic Modules and Manifolds
… we prove homological stability for both general linear groups of modules over a ring with finite stable rank and unitary groups of quadratic modules over a ring with finite unitary stable rank. In particular, we do not assume the modules and quadratic modules to be well-behaved in any sense: for …
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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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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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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 …