Algorithms for twisted conjugacy classes of polycyclic-by-finite groups II
We construct an algorithm that, given a pair of homomorphisms between polycyclic-by-finite groups, determines whether their Reidemeister number is finite, and additionally returns a set of representatives of the twisted conjugacy classes if it is. Moreover, we show how this algorithm can be applied to compute double cosets and orbits of affine actions.
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Positive formula for the product of conjugacy classes on the unitary group
The convolution product of two conjugacy classes of the unitary group $U_n$ is described by a probability distribution on the space of central measures. Relating this convolution to the quantum cohomology of Grassmannians and using recent results describing the structure constants of the latter, we give a manifestly positive formula for the density of ...
François, Quentin, Tarrago, Pierre
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Twisted conjugacy classes of automorphisms of Baumslag-Solitar groups [PDF]
, 2004 Alexander Fel’shtyn +1 more
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On finite groups in which the twisted conjugacy classes of the unit element are subgroups [PDF]
Chiara Nicotera
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On the distribution of conjugacy classes between the cosets of a finite group in a cyclic extension [PDF]
, 2008 John R. Britnell, Mark Wildon
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The binary actions of simple groups with a single conjugacy class of involutions [PDF]
Nick Gill, Pierre Guillot
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About the finite groups whose minimal normal subgroups are union of two conjugacy classes exactly [PDF]
, 1988 Antonio Vera López, Juan Vera López
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Group Theory of Syntactical Freedom in DNA Transcription and Genome Decoding. [PDF]
Curr Issues Mol Biol, 2022 Planat M +5 more
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Product of Conjugacy Classes of the Alternating Group An
, 2012 Baghdad Science Journal
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Three-dimensional maps and subgroup growth. [PDF]
Manuscr Math, 2022 Bottinelli R, Ciobanu L, Kolpakov A.
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