Groups Geometry and Dynamics

期刊简介：Groups, Geometry, and Dynamics is devoted to publication of research articles that focus on groups or group actions as well as articles in other areas of mathematics in which groups or group actions are used as a main tool. The journal covers all topics of modern group theory with preference given to geometric, asymptotic and combinatorial group theory, dynamics of group actions, probabilistic and analytical methods, interaction with ergodic theory and operator algebras, and other related fields.Topics covered include:geometric group theory;asymptotic group theory;combinatorial group theory;probabilities on groups;computational aspects and complexity;harmonic and functional analysis on groups, free probability;ergodic theory of group actions;cohomology of groups and exotic cohomologies;groups and low-dimensional topology;group actions on trees, buildings, rooted trees.

【译文】该期刊专注于发表关于群或群作用的研究文章，以及其他数学领域中使用群或群作用作为主要工具的文章。该期刊涵盖了现代群论的所有主题，特别偏好几何、渐近和组合群论，群作用的动力学，概率和分析方法，与遍历理论和算子代数的相互作用，以及其他相关领域。包括的主题有：几何群论；渐近群论；组合群论；群上的概率；计算方面和复杂性；群上的调和与泛函分析，自由概率；群作用的遍历理论；群的同调与异构同调；群与低维拓扑；树、建筑、根树上的群作用。