This article aims to be a self-contained account of the history B Newman Spelling Theorem, including historical context in which it arose. First, an and how he came prove his Theorem is given, together with description author's efforts track this information down. Following this, high-level combinatorial group theory given. then tied word problem, fundamental problem area. After some one-relato...

The connective constant μ(G) of a graph G is the asymptotic growth rate of the number of self-avoiding walks on G from a given starting vertex. We survey three aspects of the dependence of the connective constant on the underlying graph G. Firstly, when G is cubic, we study the effect on μ(G) of the Fisher transformation (that is, the replacement of vertices by triangles). Secondly, we discuss ...

Resumo O artigo discute a influência do voto relator na formação da decisão colegiada, considerando as particularidades modelo de colegialidade adotado pelo direito processual civil brasileiro. A partir literatura sobre julgamentos colegiados no Brasil e aportes Psicologia heurísticas vieses cognitivos, foi realizado experimento simulando julgamento caso responsabilidade por erro médico, cujos ...

We study the semigroup C?-algebra of a positive cone P weakly quasi-lattice ordered group. That is, is subsemigroup discrete group G with P?P?1={e} and such that any two elements common upper bound in also have least bound. find sufficient conditions for to be nuclear. These involve idea generalised length function, called “controlled map”, into an amenable Here we give new definition controlle...

S. M. Gersten Abstract. Homological Dehn functions over R and over Z are introduced to measure minimal fillings of integral 1-cycles by (real or integral) 2-chains in the Cayley 2complex of a finitely presented group. If the group G is the fundamental group of a finite graph of finitely presented vertex-groups Hv and finitely generated edge-groups, then there is a formula for an isoperimetric f...

this paper extends the scope of algebraic computation based on a non standard × to the more basic case of a non standard +, where standard means associative and commutative. two physically meaningful examples of a non standard + are provided by the observation of motion in special relativity, from either outside (3d) or inside (2d or more), we revisit the “gyro”-theory of ungar to present the m...

Let the field F contain all /?-power roots of unity for some prime p and suppose that the absolute Galois group G of F is a one-relator pro-p group. We use Merkurjev-Suslin's theorem on the power norm residue symbol to show that G is an extension of a Demushkin group by a free pro-/) group. Let F be a field, Fs its separable closure, and G = Ga\(Fs/F) its absolute Galois group. Let n be an inte...

Continuing after the previous papers of this series, attention is devoted to RR-systems having two towns (i.e., to compact 3-manifolds with spines corresponding to group presentations having two generators). An interesting kind of symmetry is noted and then used to derive some useful results. Specifically, the following theorems are proved: Theorem 1. Let tf> be a group presentation correspondi...