The structure of cancellative power-free groups
Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 199-206
Voir la notice de l'article provenant de la source Cambridge University Press
The definition of a power-free group will be found in [1]. It is a partial algebraic system which, roughly speaking, may be thought of as a group in which (with the exception of the identity) squares and higher powers of an element are not defined.It has been shown [1, Theorem 3.3] that the usual cancellation laws need not hold in a power-free group. When these laws do hold, the power-free group is called cancellative. In this paper we shall be solely concerned with cancellative power-free groups and the term ‘power-free group’ is to be understood to mean ‘cancellative power-free group’.
Geddes, A.; Walker, R. G. The structure of cancellative power-free groups. Glasgow mathematical journal, Tome 7 (1966) no. 4, pp. 199-206. doi: 10.1017/S2040618500035437
@article{10_1017_S2040618500035437,
author = {Geddes, A. and Walker, R. G.},
title = {The structure of cancellative power-free groups},
journal = {Glasgow mathematical journal},
pages = {199--206},
year = {1966},
volume = {7},
number = {4},
doi = {10.1017/S2040618500035437},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035437/}
}
TY - JOUR AU - Geddes, A. AU - Walker, R. G. TI - The structure of cancellative power-free groups JO - Glasgow mathematical journal PY - 1966 SP - 199 EP - 206 VL - 7 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.1017/S2040618500035437/ DO - 10.1017/S2040618500035437 ID - 10_1017_S2040618500035437 ER -
[1] 1.Geddes, A., Power-free groups, Proc. Cambridge Philos. Soc. 60 (1964), 393–408. Google Scholar | DOI
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