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A343821
Numbers k such that the alternating group A_k is a Hurwitz group.
3
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
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 A373575 A306102
KEYWORD
nonn
AUTHOR
Eric M. Schmidt, Apr 30 2021
STATUS
approved