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Showing 1 to 20 of 23 for “"conjugacy classes"”.
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Conjugacy Classes of the Piecewise Linear Group
… a complete set of invariants to classify the conjugacy classes of this group. Our approach to this problem relies on the factorization of elements into elements having only a single breakpoint.
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Growth of Conjugacy Classes of Reciprocal Words in Triangle Groups
<p>In this thesis we obtain the growth rates for conjugacy classes of reciprocal words for triangle groups of the form G = Z2 ∗ H where H is finitely generated and does not contain an order 2 element. We explore cases where H is infinite cyclic and finite cyclic. The quotient O = H/G is an orbifold …
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Relative Springer isomorphisms and the conjugacy classes in Sylow p-subgroups of Chevalley groups
… the adjoint orbits of \(U\) and show that the conjugacy classes of \(U(q)\) are in correspondence with the \(F\)-stable adjoint orbits of \(U\). This allows us to deduce results about the conjugacy classes of \(U(q)\). We are also interested in the adjoint orbits of \(B\) in …
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Radical <em>p</em>-chains in L<sub>3</sub>(2).
… are the normalizers of representatives of conjugacy classes of radical <em>p</em>-chains of <em>G</em>. For this reason, it is of interest to study radical <em>p</em>-chains. In this thesis, we examine the group L<sub>3</sub>(2) and determine representatives of the conjugacy classes of …
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Unipotente Charaktere und Zerlegungszahlen der endlichen Chevalleygruppen vom Typ F 4
… can compute Bruhat decompositions, centralizers, conjugacy classes, fusions and intersection numbers of conjugacy classes with double cosets. The most crucial point is, that all these computations can be done for all finite fields simultaneously.Second we use these algorithms to determine the …
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Blocks and virtually irreducible lattices
… D. If every automorphism of D which preserves conjugacy classes is an inner automorphism, then there is a virtually irreducible SH-lattice in b with vertex D such that U$\sp{\rm G}$ = V $\oplus$ W with V virtually irreducible and U $\not\vert$ W$\sb{\rm H}$.
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Verification of the McKay-Alperin-Dade Conjecture for the covering groups of the Mathieu group M(22)
… $N\sb{G}(C)$ of representatives C of the G-conjugacy classes of radical p-chains of G. Specifically, we have the following.
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On Proofs of Sylow's Theorem
… Theorem of Algebra. We give a determination of conjugacy classes in the Dihedral group. We conclude with a sketch of Sylow.
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On semi-invariants of filtered representations of quivers and the cotangent bundle of the enhanced Grothendieck-Springer resolution
… but is a systematic generalization of conjugacy classes of $n\times n$ matrices to (block) upper triangular matrices up to conjugation by invertible (block) upper triangular matrices. With this notion in mind, we describe the ring of invariant polynomials for interesting families of …
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Untersuchungen zu Donovans Vermutung für klassische Gruppen
… that the number of Morita equivalence classes ofblocks of finite groups with prescribed defect group is finite. In this thesisDonovan's conjecture is investigated for classical groups. First, a recenttheorem of Bonnafe and Rouquier is used to reduce Donovan'sconjecture for classical …
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Affine Springer Fibers and the Kazhdan-Lusztig Map
… define a map from nilpotent orbits in Lie Gₚ to conjugacy classes in W. This thesis proves compatibilities between Kazhdan-Lusztig maps associated to different parahoric subgroups, as well as the Kazhdan-Lusztig map for the Langlands dual. These compatibilities come from studying the …
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Finite symplectic matrix groups
… of GL(2n, Q). This thesis classifies all conjugacy classes of maximal finite symplectic subgroups of GL(2n, Q) up to 2n=22. The natural representation of a maximal finite symplectic matrix group is a sum of pairwise nonisomorphic rationally irreducible representations that yield maximal …
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Charaktertafeln parabolischer Untergruppen der Steinbergschen Trialitätsgruppen und Anwendungen auf deren Darstellungstheorie
… algebraic groups. Using this algorithm, the conjugacy classes of the maximal parabolic subgroups of the triality groups are determined. Then, by Clifford theory, the generic character table of a maximal parabolic subgroup and a large part of the generic character table of another maximal …
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Topics in Inverse Galois Theory
… rigid groups to be groups where a selection of conjugacy classes satisfies a series of specific properties. Under the right conditions, such a group is also guaranteed to be the Galois group of an extension of Q.
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Topological Hochschild homology of twisted group algebras
… wedge-sum on the left hand side ranges over the conjugacy classes of elements of G and the equivalence depends on a choice of representative g E (g) of every conjugacy class of elements in G.
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Cameron-Liebler Sets for 2-Transitive Groups
… subgroups, cosets, or neither; (3) isomorphism classes and conjugacy classes of the maximum cocliques that are subgroups; (4) the dimension of C′, the maximum cliques that are subgroups (along with their right cosets), and C, all maximum cliques; and (5) the spectrum of ΓG and whether the ratio …
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Algebraic and combinatorial properties of minimal border strip tableaux
… characters of [tilde]S[sub]n vanish on certain conjugacy classes. Another corollary is a lower bound on the degree of the terms in the expansion of Schur's Q[sub][lambda] symmetric functions in terms of the power sum symmetric functions. The second result gives a basis for the space spanned by …
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Fischer-clifford matrices and character tables of inertia groups of maximal subgroups of finite simple groups of extension type
… by a discussion on the calculation 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 …
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Ideals and Commutators of Operators
… + A for A in I is used to obtainuncountably many conjugacy classes of Cartan subalgebras of I.</p>
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Bounding the Order of a Group with a Large Conjugacy Class
No abstract prepared.
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