2-adic properties for the numbers of involutions in the alternating groups

Author:

Koda Tatsuhiko1,Sato Masaki1,Takegahara Yugen1

Affiliation:

1. Muroran Institute of Technology, 27-1 Mizumoto, Muroran 050-8585, Japan

Abstract

We study the 2-adic properties for the numbers of involutions in the alternative groups, and give an affirmative answer to a conjecture of Kim and Kim [A combinatorial approach to the power of 2 in the number of involutions, J. Combin. Theory Ser. A117 (2010) 1082–1094]. Some analogous and general results are also presented.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Reference17 articles.

1. The Solutions ofxd=1 in Finite Groups

2. On Recursions Connected With Symmetric Groups I

3. On the Artin-Hasse Exponential Series

4. B. Dwork, Groupe d'étude d'Analyse Ultramétrique 9 (Inst. Henri Poincare, Paris, 1983) p. 10.

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