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

Author

Eric M. Schmidt, Apr 30 2021

Keywords

• nonn

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.