該期刊致力于發表關注群體或群體行動的研究文章，以及其他數學領域的文章，其中群體或群體行為被用作主要工具。 該期刊涵蓋了現代群論的所有主題，優先考慮幾何，漸近和組合群理論，群體動作的動力學，概率和分析方法，與遍歷理論和算子代數的相互作用，以及其他相關領域。涉及的主題包括：幾何群理論;漸近群理論;組合群理論;群體概率;計算方面和復雜性;群體的諧波和功能分析，自由概率;集體行動的遍歷理論;群體和外來上同調的上同調;組和低維拓撲;對樹木，建筑物，有根樹木的集體行動。

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.