Journal Article The Number of Homomorphisms from a Finite Abelian Group to a Symmetric Group (II)

TAKEGAHARA, Yugen

44 ( 6 )  , pp.2402 - 2442 , 2016-04-29 , Taylor & Francis
ISSN:0092-78721532-4125
NCID:AA00611371
Description
For any finite abelian group A, we give the lower bound of ordp(|Hom(A, Sn)|), and determine the region of convergence of the p-adic power series 1 + Sigma(infinity)(n=1) vertical bar Hom(A, S-n)vertical bar X-n/ n!.
2000 Mathematics Subject Classication: Primary 05A15; Secondary 20B30; 20K01; 20K27
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