Asymptotic formulas related to free products of cyclic groups
HTML articles powered by AMS MathViewer
- by Morris Newman PDF
- Math. Comp. 30 (1976), 838-846 Request permission
Abstract:
Asymptotic formulas for the number of subgroups of a given index of the free product of finitely many cyclic groups are given. The classical modular group $\Gamma$ is discussed in detail, and a table of the number of subgroups of $\Gamma$ of index n is given for $1 \leqslant n \leqslant 100$.References
- I. M. S. Dey, Schreier systems in free products, Proc. Glasgow Math. Assoc. 7 (1965), 61–79 (1965). MR 188279
- Marshall Hall Jr., Subgroups of finite index in free groups, Canad. J. Math. 1 (1949), 187–190. MR 28836, DOI 10.4153/cjm-1949-017-2
- Leo Moser and Max Wyman, On solutions of $x^d=1$ in symmetric groups, Canadian J. Math. 7 (1955), 159–168. MR 68564, DOI 10.4153/CJM-1955-021-8
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Math. Comp. 30 (1976), 838-846
- MSC: Primary 10H25; Secondary 20E30
- DOI: https://doi.org/10.1090/S0025-5718-1976-0466047-9
- MathSciNet review: 0466047