Free subgroups of the free product of cyclic groups

Stothers, W. W.

doi:10.1090/S0025-5718-1978-0502015-8

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Browser Compatibility Info Help
ISSN 1088-6842(online) ISSN 0025-5718(print)

Free subgroups of the free product of cyclic groups

Author: W. W. Stothers
Journal: Math. Comp. 32 (1978), 1274-1280
MSC: Primary 20E06
MathSciNet review: 502015
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.

[1] I. M. S. Dey, Schreier systems in free products, Proc. Glasgow Math. Assoc. 7 (1965), 61–79 (1965). MR 0188279 (32 #5718)
[2] Ralph H. Fox, On Fenchel’s conjecture about 𝐹-groups, Mat. Tidsskr. B. 1952 (1952), 61–65. MR 0053937 (14,843c)
[3] Marshall Hall Jr., Subgroups of finite index in free groups, Canadian J. Math. 1 (1949), 187–190. MR 0028836 (10,506a)
[4] Leo Moser and Max Wyman, Asymptotic expansions, Canad. J. Math. 8 (1956), 225–233. MR 0078488 (17,1201b)
[5] Morris Newman, Asymptotic formulas related to free products of cyclic groups, Math. Comp. 30 (1976), no. 136, 838–846. MR 0466047 (57 #5930), http://dx.doi.org/10.1090/S0025-5718-1976-0466047-9
[6] 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 0480341 (58 #514)
[7] W. W. Stothers, Subgroups of infinite index in the modular group, Glasgow Math. J. 19 (1978), no. 1, 33–43. MR 508344 (80b:20060), http://dx.doi.org/10.1017/S0017089500003347

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|