This book illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory, and local analysis, are combined to construct one of the last of the sporadic finite simple groups — the fourth Janko group J4. This book's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory.
Keywords: finite group theory, representation theory, cohomology theory, combinatorial group theory, local analysis, geometry, algebra
Print publication date: 2004 | Print ISBN-13: 9780198527596 |
Published to Oxford Scholarship Online: September 2007 | DOI:10.1093/acprof:oso/9780198527596.001.0001 |