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Mathematische Annalen

, Volume 51, Issue 3, pp 417–444 | Cite as

Concerning the general equations of the seventh and eighth degrees

  • Eliakim Hastings Moore
Article

Keywords

General Equation Eighth Degree 
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Literatur

  1. **).
    There is contact here with my papers:Concerning Jordan's Linear Groups (Bulletin of the American Mathematical Society, vol. 2, pp. 33–43, 1895),Tactical Memoranda I–III (American Journal of Mathematics, vol. 18, 264–303, 1896).Google Scholar
  2. *).
    It is to be noted that in introducing the notion of the group of isomorphisms of a group (loc. cit.,Concerning Jordan's Linear Groups (Bulletin of the American Mathematical Society, vol. 2, pp. 223, 1895), and especially in applying it in connection with the Abelian group of orderp n and type (111... ton units) to the study of the linear groups (loc. cit.:Concerning Jordan's Linear Groups (Bulletin of the American Mathematical Society, vol. 2, pp. 336–339, 342, 1895) Burnside should have cited my papers:The Group of Holoedric Transformation into Itself of a given Group, andConcerning Jordan's Linear Groups (Bulletin of the American Mathematical Society, vol. 1, pp. 61–66, 1894, and vol. 2, pp. 33–43, 1895). Cf. the foot-note near the close of §1 of the present paper.Google Scholar
  3. *).
    This well-known doubling process first occurs in a paper by Horner:On Triads of Once-Paired Elements (Quarterly Journal of Mathematics, vol. 9, pp. 15–18, 1868). He speaks however explicitly only of triple systems which may be arranged “in ascending order” (loc. cit.,Concerning Jordan's Linear Groups (Bulletin of the American Mathematical Society, vol. 2, p. 15, 1895).Google Scholar
  4. **).
    Moore:Concerning the Abstract Group... (loc. cit.,Concerning Jordan's Linear Groups (Bulletin of the American Mathematical Society, vol. 2, pp 33–43, 1895, theorems B and C).Google Scholar

Copyright information

© Springer-Verlag 1898

Authors and Affiliations

  • Eliakim Hastings Moore
    • 1
  1. 1.Chicago

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