GROUPS, RINGS, GROUP RINGS, AND HOPF ALGEBRAS

• The Dixmier-Moeglin equivalence for extensions of scalars and Ore extensions 16
• On left symmetric color algebras 40
• On the automorphism group of rational group algebras of finite groups 48
• Graded simple modules and loop modules 68
• Symmetric groups and fixed points on modules: An application of group theory to topology 102
• Free unit groups in group rings and division rings: My collaboration with Don Passman 108
• Group rings and Jordan decomposition 118
• On the Toeplitz-Jacobson algebra and direct finiteness 128
• Frobenius divisibility for Hopf algebras 140
• Generalized nil-Coxeter algebras, cocommutative algebras, and the PBW property 154
• ??-subgroups of units in Z?? 184
• On the classification of finite-dimensional semisimple Hopf algebras 196
• Zero divisors in group rings of wreath products of groups 234
• The lattice of submodules of a multiplicity-free module 252
• Star group identities on units of group algebras 264
• A note on group algebras of locally compact groups 274
• Elementary construction of Lusztig’s canonical basis 280

This volume contains the proceedings of the International Conference on Groups, Rings, Group Rings, and Hopf Algebras, held October 2–4, 2015 at Loyola University, Chicago, IL, and the AMS Special Session on Groups, Rings, Group Rings, and Hopf Algebras, held October 3–4, 2015, at Loyola University, Chicago, IL. Both conferences were held in honor of Donald S. Passman's 75th Birthday.
Centered in the area of group rings and algebras, this volume contains a mixture of cutting edge research topics in group theory, ring theory, algebras and their representations, Hopf algebras and quantum groups.

Authors
• Jeffrey Bergen: DePaul University, Chicago, IL,
• Stefan Catoiu: DePaul University, Chicago, IL,
• William Chin: DePaul University, Chicago, IL