International Conference on Group Theory and Symmetry Studies (ICGTSS - 26)

This track will explore the fundamental principles and axioms of group theory, emphasizing its historical development and foundational significance in mathematics. Participants are encouraged to present novel insights and methodologies that advance the understanding of group structures.

This session focuses on the role of symmetry in various algebraic structures, including rings and fields. Contributions that examine how symmetry influences algebraic properties and relationships are particularly welcome.

This track is dedicated to the study of finite groups, including classification, representation, and applications. Researchers are invited to share their findings on the intricate properties and behaviors of finite groups.

This session will delve into the complexities of infinite groups, exploring their algebraic and topological properties. Papers that discuss applications of infinite groups in various mathematical contexts are encouraged.

This track will cover the representation theory of both finite and infinite groups, focusing on the interplay between algebra and geometry. Contributions that highlight new techniques or applications in representation theory are particularly sought after.

This session will investigate the relationship between Lie groups and symmetry in mathematical physics and geometry. Researchers are invited to present their work on the applications of Lie groups in understanding continuous symmetries.

This track will explore the geometric aspects of symmetry through group actions on various mathematical objects. Papers that analyze the implications of group actions in geometry and topology are highly encouraged.

This session will focus on the study of noncommutative groups, examining their structures and representations. Contributions that explore the implications of noncommutativity in various mathematical frameworks are welcome.

This track will delve into group cohomology, exploring its theoretical foundations and practical applications in different areas of mathematics. Researchers are encouraged to present innovative approaches and results related to cohomological methods.

This session will investigate permutation groups and their connections to combinatorial structures and designs. Papers that explore the applications of permutation groups in combinatorial optimization and graph theory are particularly welcome.

This track will examine the intersection of quantum mechanics and group theory, focusing on how symmetry principles govern quantum systems. Contributions that discuss the implications of group theory in quantum symmetry and related fields are encouraged.