Hostname: page-component-76fb5796d-5g6vh Total loading time: 0 Render date: 2024-04-29T23:00:06.230Z Has data issue: false hasContentIssue false
  • English
  • Français

Presentations of groupoids, with applications to groups

Published online by Cambridge University Press:  24 October 2008

P. J. Higgins
P. J. Higgins
Affiliation:
King's College, London
Get access Rights & Permissions [Opens in a new window]

Extract

1. Introduction. In (7), a theory was developed which dealt with certain classes of partial algebras in which the domains of the operators were determined by an ‘operator scheme’. This device allows the use of methods normally available only for full abstract algebras. In particular, one can present suitable partial algebras by means of generators and relations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 1 , January 1964 , pp. 07 - 20
Copyright
Copyright © Cambridge Philosophical Society 1964

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Berge, C.Théorie des graphes et ses applications (Dunod; Paris, 1958).Google Scholar
(2)Brandt, H.Über eine Verallgemeinerung des Gruppenbegriffes. Math. Ann. 96 (1927), 360–366CrossRefGoogle Scholar
(3)Ehresmann, C.Gattungen von lokalen Strukturen. Jber. Deutsch. Math. Verein. 60 (1957), Abt. 1, 49–77.Google Scholar
(4)Grothendieck, A.Sur quelques points d'algèbre homologique. Tôhoku Math. J. 9 (1957), 119–221Google Scholar
(5)Hall, Marshall JrThe theory of groups (Macmillan; New York, 1959).Google Scholar
(6)Hasse, M.Einige Bemerkung über Graphen, Kategorien und Gruppoide. Math. Nachr. 22 (1960), 255–270CrossRefGoogle Scholar
(7)Higgins, P. J.Algebras with a scheme of operators. Math. Nachr. (to appear).Google Scholar
(8)Isbell, J. R.Some remarks concerning categories and subspaces. Canad. J. Math. 9 (1957), 563–577CrossRefGoogle Scholar
(9)Kuroš, A. G.The theory of groups (Chelsea; New York, 1955).Google Scholar
(10)Maclane, S.A proof of the subgroup theorem for free products. Mathematika, 5 (1958), 13–19CrossRefGoogle Scholar
(11)Neumann, Hanna. Generalised free products with amalgamated subgroups.II. American J. Math. 71 (1949), 491–540CrossRefGoogle Scholar
(12)Weir, A. J.The Reidemeister–Schreier and Kuroš subgroup theorems. Mathematika, 3 (1956), 47–55CrossRefGoogle Scholar