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Zusatztext This book can be recommended to anyone interested in the geometrics behind sporadic simple groups. Klappentext This unique reference 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 J_4. Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory. An indispensable resource, this book will be a unique and essential reference for researchers in the area. Zusammenfassung This text 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 J_4.Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory.An indispensible resource, this book will be a unique and essential reference for researchers in the area.The author is a leading researcher in the field. Inhaltsverzeichnis Preface 1: Concrete group theory 2: O_10 ^+ (2) as a prototype 3: Modifying the rank 2 amalgam 4: Pentad group 1^3+12 . (L_3 (2) x Sym_5) 5: Toward 2_+ ^1+12 . 3 . Aut (M_22) 6: The 1333-dimensional representation 7: Getting the parabolics together 8: 173,067,389-vertex graph triangle 9: History and beyond Appendices 10: Terminology and notation 11: Matthieu groups and their geometries References Index
