Displaying similar documents to “Supersymmetry classes of tensors”

Set theory over classes

Arnold Oberschelp

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CONTENTS1. Introduction................................................................................................................ 52. General view on sets and classes....................................................................... 63. The elementary theory of classes, relations, and functions............................ 104. The general set theory over classes.................................................................... 185. The M-comprehension schema...............................................................................

Bitwisted Burnside-Frobenius theorem and Dehn conjugacy problem

Alexander Fel'shtyn (2009)

Banach Center Publications

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It is proved for Abelian groups that the Reidemeister coincidence number of two endomorphisms ϕ and ψ is equal to the number of coincidence points of ϕ̂ and ψ̂ on the unitary dual, if the Reidemeister number is finite. An affirmative answer to the bitwisted Dehn conjugacy problem for almost polycyclic groups is obtained. Finally, we explain why the Reidemeister numbers are always infinite for injective endomorphisms of Baumslag-Solitar groups.