Free subgroups of the free product of cyclic groups
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- by W. W. Stothers PDF
- Math. Comp. 32 (1978), 1274-1280 Request permission
Abstract:
Two kinds of recurrence relation for the number of subgroups of finite index in a free product of finitely many cyclic groups are given. An asymptotic formula is obtained from the first of these relations.References
- I. M. S. Dey, Schreier systems in free products, Proc. Glasgow Math. Assoc. 7 (1965), 61–79 (1965). MR 188279
- Ralph H. Fox, On Fenchel’s conjecture about $F$-groups, Mat. Tidsskr. B 1952 (1952), 61–65. MR 53937
- 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, Asymptotic expansions, Canadian J. Math. 8 (1956), 225–233. MR 78488, DOI 10.4153/CJM-1956-026-x
- Morris Newman, Asymptotic formulas related to free products of cyclic groups, Math. Comp. 30 (1976), no. 136, 838–846. MR 466047, DOI 10.1090/S0025-5718-1976-0466047-9
- W. W. Stothers, The number of subgroups of given index in the modular group, Proc. Roy. Soc. Edinburgh Sect. A 78 (1977/78), no. 1-2, 105–112. MR 480341, DOI 10.1017/S0308210500009860
- W. W. Stothers, Subgroups of infinite index in the modular group, Glasgow Math. J. 19 (1978), no. 1, 33–43. MR 508344, DOI 10.1017/S0017089500003347
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 1274-1280
- MSC: Primary 20E06
- DOI: https://doi.org/10.1090/S0025-5718-1978-0502015-8
- MathSciNet review: 502015