The inductive Alperin-McKay and Blockwise Alperin Weight conditions for blocks with cyclic defect groups and odd primes.

We verify the inductive Blockwise Alperin Weight (BAW) and the inductive Alperin-McKay (AM) conditions introduced by the second author, for p-blocks of finite quasisimple groups with cyclic defect groups whenever the prime p is odd. Furthermore, we establish a criterion that describes conditions under which the inductive AM condition for blocks with abelian defect groups implies the inductive BAW condition for those blocks. [ABSTRACT FROM AUTHOR]