该期刊致力于发表关注群体或群体行动的研究文章，以及其他数学领域的文章，其中群体或群体行为被用作主要工具。 该期刊涵盖了现代群论的所有主题，优先考虑几何，渐近和组合群理论，群体动作的动力学，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。涉及的主题包括：几何群理论;渐近群理论;组合群理论;群体概率;计算方面和复杂性;群体的谐波和功能分析，自由概率;集体行动的遍历理论;群体和外来上同调的上同调;组和低维拓扑;对树木，建筑物，有根树木的集体行动。
This journal 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.
