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 A343822 Numbers k such that the alternating group A_k is not a Hurwitz group. 2
 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 23, 24, 25, 26, 27, 30, 31, 32, 33, 34, 38, 39, 40, 41, 44, 46, 47, 48, 53, 54, 55, 59, 60, 61, 62, 67, 68, 69, 74, 75, 76, 82, 83, 89, 90, 95, 97, 103, 104, 110, 111, 118, 125, 131, 139, 146, 167 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Complement of A343821. See the classification in section 5 of the first Conder reference. The term 139 is erroneously omitted there, as pointed out in the second Conder reference [Section 3]. LINKS Table of n, a(n) for n=1..66. Marston D. E. Conder, Generators for alternating and symmetric groups, J. London Math. Soc. (2) 22 (1980), pp. 75-86. Marston D. E. Conder, Some results on quotients of triangle groups, Bulletin of the Australian Mathematical Society, Volume 30, Issue 1, August 1984, pp. 73-90. J. J. Etayo Gordejuela and E. Martínez, Alternating groups, Hurwitz groups and H^*-groups, Journal of Algebra, 283 (2005), pp. 327-349. CROSSREFS Cf. A179982, A343821. Sequence in context: A320230 A076564 A325044 * A303550 A164563 A179892 Adjacent sequences: A343819 A343820 A343821 * A343823 A343824 A343825 KEYWORD nonn,fini,full AUTHOR Eric M. Schmidt, Apr 30 2021 STATUS approved

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Last modified July 12 19:59 EDT 2024. Contains 374252 sequences. (Running on oeis4.)