About a class of (n, m)-groups

nth-roots and n-centrality of finite 2-generator p-groups of nilpotency class 2

Here we consider all finite non-abelian 2-generator $p$-groups ($p$ an odd prime) of nilpotency class two and study the probability of having $n^{th}$-roots of them. Also we find integers $n$ for which, these groups are $n$-central.

Realization of a Certain Class of Semi-Groups as Value Semi-Groups of Valuations

Fifteen Problems about the Mapping Class Groups

Let S be a compact orientable surface, possibly with boundary. We denote by ModS the mapping class group of S, i.e. the group π0(Diff(S)) of isotopy classes of diffeomorphisms of S. This group is also known as the Teichmüller modular group of S, whence the notation ModS. Note that we include the isotopy classes of orientation-reversing diffeomorphisms in ModS, so our group ModS is what is somet...

A Fractal Non-Contracting Class of Automata Groups

F U N D a M E N T a Mathematicae M-rank and Meager Groups

Assume p∗ is a meager type in a superstable theory T . We investigate definability properties of p∗-closure. We prove that if T has < 2א0 countable models then the multiplicity rank M of every type p is finite. We improve Saffe’s conjecture. 0. Introduction. Throughout the paper, T is a superstable theory in a countable language L, and we work within a monster model C = C of T . The general ref...