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Showing 1 to 20 of 34829 for “"Groups"”.
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Selmer groups as flat cohomology groups
Given a prime number p, Bloch and Kato showed how the p Selmer group of an abelian variety A over a number field K is determined by the p-adic Tate module. In general, the pm1-Selmer group Selpmn A need not be determined by the mod pm Galois representation A[pm]; we show, however, that this is the …
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Finite Groups of Automorphisms of Infinite Groups
Made available in DSpace on 2014-12-14T13:09:38Z (GMT). No. of bitstreams: 1 7820935.pdf: 3053366 bytes, checksum: dedfb953c9ce6c7d8214706bc74fdbe7 (MD5) Previous issue date: 1978
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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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Matrix Representations of Automorphism Groups of Free Groups
… the representation theory of three finite subgroups: two symmetric groups, Sn and Sn+1, and a Coxeter group of type Bn, also known as a hyperoctahedral group. The representation theory of these subgroups is well understood in the language of Young Diagrams, and we apply this knowledge to …
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Incompressible Groups
… and sufficient criterion to determine what groups of order n are incompressible.
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Quasiconformal Groups
… thesis the notion of Schottky quasiconformal groups is introduced. We study Schottky quasiconformal groups and show that the limit set L(G) of any Schottky quasi-conformal group G is uniformly perfect. Then the concept of Schottky-type quasiconformal groups is introduced, and we generalize our …
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Braid groups and mapping class groups for 2-orbifolds
… of this thesis is that pure orbifold braid groups fit into an exact sequence 1$\\rightarrow$ …
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Relations between subgroups and quotient groups of finite groups
<p>Subgroups and quotient groups are elementary concepts and at the same time important tools for investigating the structure of groups. Though a group is usually not determined by its proper subgroups and proper quotient groups, significant estimates can often be deduced from information about …
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Free products of abelian groups in mapping class groups
… originally come from the study of Kleinian groups. The analogous notion of convex cocompactness for mapping class groups is due to Farb-Mosher. In recent work, Dowdall-Durham-Leininger-Sisto have proposed a definition of “parabolic” geometric finiteness for mapping class groups. In this …
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Length bounds for the conjugacy search problem in relatively hyperbolic groups, limit groups and residually free groups
… conjugacy length bounds for several classes of groups. We use geometric and algebraic methods to show that there is a polynomial conjugacy length bound for relatively hyperbolic groups, a linear multiple conjugacy length bound for limit groups, and a polynomial multiple conjugacy length bound …
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The Occurrence of Certain Types of Groups as Automorphism Groups
… group. We examine the characteristics of groups G whose automorphism group Aut G has specified properties. If H = Aut G for some group G, we call H an automorphism group. We will see that there are many classes of groups which are not automorphism groups, and many other classes which are …
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Hecke Groups and Free-Products of Two Cyclic Matrix-Groups
Made available in DSpace on 2014-12-11T18:24:09Z (GMT). No. of bitstreams: 1 7414529.pdf: 2568704 bytes, checksum: 4f575cbdcd5d76e75b00b8e18f6630de (MD5) Previous issue date: 1974
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Cubulating CAT(0) groups and Property (T) in random groups
… graphs. The aim is to cubulate some examples of groups known in the literature, and prove that many ‘generic’ groups have Property (T). Graphs will be central objects of study throughout this text, and so in Chapter 2 we provide some definitions and note some results. In Chapter 3, we provide a …
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The Porcelain Groups
My background in clay has emphasized the development of technical considerations in functional ceramics as well as the search for personal images. The past two years have seen an emphasis on the exploration of technical areas chosen to lead to the development of a familiarity with techniques and a …
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Transitive Homeomorphism Groups
Made available in DSpace on 2015-05-12T17:09:34Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 0005961.PDF: 1411536 bytes, checksum: 9d73bb61d78d90fc6368b09e6c2c57f7 (MD5) Previous issue date: 1953
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Component Groups of Stabilizers in Algebraic Groups: Computational Methods and Applications
The component groups of the stabilizers of nilpotent elements in complex semisimple Lie algebras have been a relevant topic of research over the last century. The works of Alekseevskii (1979) and Sommers (1998) contributed significantly to the determination of such groups for exceptional Lie …
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