Preface ....................................................... vii
Dedication ..................................................... ix
Acknowledgements ............................................... xi
Part I: ALGEBRAS AND GROUPS ..................................... 1
Introduction .................................................... 3
On the structure of Hopf algebras (preprint, 1959)
with J.C. Moore .............................................. 7
On the structure of Hopf algebras (1965)
with J.C. Moore ............................................. 37
Remarks on infinite-dimensional lie groups (1986) .............. 91
The representation rings of some classical groups (1963) ...... 143
Growth of finitely generated solvable groups (1968) ........... 155
Part II: THE CONGRUENCE SUBGROUP PROBLEM ...................... 159
Introduction .................................................. 161
On unimodular groups over number fields (preprint, 1965)
with H. Bass ............................................... 165
Solution of the congruence subgroup problem for SLn(n ≥ 3)
and Sp2n(n ≥ 2) (1967)
with H. Bass and J-P. Serre ................................ 181
On a functorial property of power residue symbols (errata to
above) (1968) .............................................. 261
On polylogarithms, Hurwitz zeta functions, and the Kubert
identities (1983) .......................................... 265
Developments on the congruence subgroup problem after the
work of Bass, Milnor, and Serre (2010)
by Gopal Prasad and Andrei S. Rapinchuk .................... 307
Part III: ALGEBRAIC K-THEORY AND QUADRATIC FORMS .............. 327
Introduction .................................................. 329
On isometries of inner product spaces (1969) .................. 331
Algebraic K-theory and quadratic forms (1970) ................. 347
Symmetric inner product spaces over a Dedekind dc nain
(preprint, 1970) .............................................. 375
Symmetric inner product spaces in characteristic 2 (1971) ..... 381
Developments in algebraic if-theory and quadratic forms
after the work of Milnor (2010)
by Alexander Merkurjev ..................................... 399
Index ......................................................... 419
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