Search

This paper classifies quasiprimitive permutation groups with a transitive subgroup which is isomorphic to A n for some n ⩾ 5 . [ABSTRACT FROM AUTHOR]

We show that the free-by-cyclic groups of the form F2 × Z act properly cocompactly on CAT(0) square complexes. We also show using generalized Baumslag-Solitar groups that all known groups defined by a 2-generator 1-relator presentation are either SQ-universal or are cyclic or isomorphic to a soluble Baumslag-Solitar group. [ABSTRACT FROM AUTHOR]

An automorphism β of a k-graph Λ induces a crossed product C*(Λ)×βZ which is isomorphic to a (k+1)-graph algebra C*(Λ×βZ). In this paper we show how this process interacts with k-graph C*- algebras which have been twisted by an element of their second cohomology group. This analysis is done using a long exact sequence in cohomology associated to this data. We conclude with some examples. [ABSTRACT FROM AUTHOR]

We provide a new and conceptually simplified construction of continuous homotopy fixed point spectra for Lubin-Tate spectra under the action of the extended Morava stabilizer group. Moreover, our new construction of a homotopy fixed point spectral sequence converging to the homotopy groups of the homotopy fixed points of Lubin-Tate spectra is isomorphic to an Adams spectral sequence converging to the homotopy groups of the spectra constructed by Devinatz and Hopkins. The new idea is built on the theory of profinite spectra with a continuous action by a profinite group. [ABSTRACT FROM AUTHOR]