On some generating functions for McKay numbers---prime power divisibilities of the hook products of Young diagrams

J. Math. Sci. Univ. Tokyo
Vol. 1 (1994), No. 2, Page 321--337.

Nakamura, Hiroaki
On some generating functions for McKay numbers---prime power divisibilities of the hook products of Young diagrams
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Abstract:
We discuss combinatorics related with $p$-adic valuations of hook products of Young diagrams and obtain some infinite product generating functions in two variables for McKay-Macdonald numbers of some classical finite groups.

Mathematics Subject Classification (1991): Primary 05E15; Secondary 05A19, 20C30, 20C15
Mathematical Reviews Number: MR1317463

Received: 1993-07-19