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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 10 of 10 for “"Normal subgroups."”.
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A Lattice Theoretic Generalization of Normal Subgroups
Made available in DSpace on 2014-12-11T18:24:15Z (GMT). No. of bitstreams: 1 7511759.pdf: 2220150 bytes, checksum: 11d793f4584318c97515cfe9f102e3cf (MD5) Previous issue date: 1974
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Normal Subgroups of Odd Order Monomial P(a)q(b)-Groups
… regarding monomial groups is whether or not a normal subgroup N of a monomial group G is itself monomial. In the case that G is a group of even order, it has been proved (Dade, van der Waall) that N need not be monomial. Here we show that, if G is a monomial group of order paq b, where p and q …
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Normal Subgroups of the Symplectic Group on a Countably Infinite Dimensional Vector Space
Made available in DSpace on 2014-12-09T22:17:35Z (GMT). No. of bitstreams: 1 6706681.pdf: 2168247 bytes, checksum: c684e5cf1d4e7bfbe57aaded21ad89f6 (MD5) Previous issue date: 1966
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Group automorphisms of incidence algebras.
… of units U(FI(P)) of incidence algebras and its normal subgroups. This includes the structure and properties of maximal abelian, normal subgroups, and criteria for solvability and nilpotency. Lastly, we will classify the automorphism group of the group of units when (P,≤) = (Z,≤).
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GT-shadows related to finite quotients of the full modular group
… groupoid whose objects are certain finite index normal subgroups of Artin’s braid group B4 on 4 strands. In this thesis we introduce GT-shadows for the gentle version GTgen of the Grothendieck-Teichmueller group. These entities are morphisms of a groupoid GTSh whose objects are certain finite …
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Chain Conditions on Subnormal Subgroups
… certain properties with respect to chains of normal subgroups. We show hold when the scope is broadened to include subnormal subgroups.
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Strong simplicity of groups and vertex - transitive graphs
… 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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A probabilistic approach to a classical result of ore
… years ago and deals with the number of commuting subgroups in the subgroups lattice L(G) of G. The extremal case sd(G) = 1 detects a class of groups classified by Iwasawa in 1941 (in fact sd(G) represents a probabilistic measure which allows us to understand how far is G from the groups of …
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Equivariant symmetry breaking sets
… group theory problem of finding complements of normal subgroups. We tabulate solutions to this problem for the point groups. Finally, we provide some examples of symmetry breaking to demonstrate how our approach works in practice.
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Free groups and the axiom of choice
The Nielsen–Schreier theorem states that subgroups of free groups are free. As all of its proofs use the Axiom of Choice, it is natural to ask whether the theorem is equivalent to the Axiom of Choice. Other questions arise in this context, such as whether the same is true for free abelian groups, …