A343821 Numbers k such that the alternating group A_k is a Hurwitz group.

15, 21, 22, 28, 29, 35, 36, 37, 42, 43, 45, 49, 50, 51, 52, 56, 57, 58, 63, 64, 65, 66, 70, 71, 72, 73, 77, 78, 79, 80, 81, 84, 85, 86, 87, 88, 91, 92, 93, 94, 96, 98, 99, 100, 101, 102, 105, 106, 107, 108, 109, 112, 113, 114, 115, 116, 117, 119, 120, 121, 122

Offset

1,1

Comments

This sequence contains every k > 167 [Conder].

This sequence is found in Section 2 of the Gordejuela and Martínez paper, which has a slight error: 86 occurs twice and 87 is missing.

Links

Eric M. Schmidt, Table of n, a(n) for n = 1..150

Marston D. E. Conder, Generators for alternating and symmetric groups, J. London Math. Soc. (2) 22 (1980), pp. 75-86.

J. J. Etayo Gordejuela and E. Martínez, Alternating groups, Hurwitz groups and H^*-groups, Journal of Algebra, 283 (2005), pp. 327-349.

Crossrefs

Complement of A343822.

Cf. A179982.

Sequence in context: A072310 A166645 A033708 * A294171 A306102 A177024

Adjacent sequences: A343818 A343819 A343820 * A343822 A343823 A343824

Keyword

nonn

Author

Eric M. Schmidt, Apr 30 2021

Status

approved