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Showing 1 to 9 of 9 for “"conjugacy class"”.
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Bounding the Order of a Group with a Large Conjugacy Class
No abstract prepared.
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Solutions to the conjugacy search and decision problems in the braid group using finite conjugacy class invariants
For two braids, A, B ∈ Bn, the conjugacy decision problem asks whether another braid X ∈ Bn exists such that X−1 A X = B. If we know A, B ∈ Bn are indeed conjugate, the conjugacy search problem asks us to find a braid Y ∈ Bn such that Y −1 A Y = B. In this dissertation we investigate a number of …
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Counting and Averaging Problems in Graph Theory
… on H with compact quotient, and choose a conjugacy class in this group. Count the number of vertices inside an increasing ball, which are images of a fixed point x in H under automorphisms in the chosen conjugacy class, and describe the asymptotic behaviour of this number as the size of …
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On the nilpotent injectors of the general linear groups
… a subgroup H of G of maximal order satisfying class(H) $\leq$ 2. Among other results the nilpotent injectors of GL(n,q) are determined and shown 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) …
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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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On complex reflection groups G(m, 1, r) and their Hecke algebras
… constructed by the algorithm, for some special conjugacy class representatives of minimal length, one in each class. Quasi-parabolic subgroups are introduced for investigating representations of Ariki- Koike algebras. We use n x n arrays of non-negative integer sequences to characterize double …
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Dynamics of Polish groups
… that is, we show that for every m the diagonal conjugacy action g\cdot (h_1, h_2,...,h_m) = (gh_1g^{-1}, gh_2g^{-1},..., gh_mg^{-1}) of H(2^N) on H(2^N)^m has a comeager orbit. This answers a question of Kechris and Rosendal. We prove that the generic tuple in H(2^N)^m can be taken to be the …
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ON A CONJUGATE CLASS OF SUBGROUPS DETERMINED BY A FORMATION
… that the f-subgroups of G form a characteristic conjugacy class of CAR-subgroups of G. Moreover these subgroups generate G(,f). As a result, G is an element of the formation f if and only if an f-subgroup is equal to the identity subgroup.</p><p>It is established that an f-subgroup is a product …