NDLI: Some results on quotients of triangle groups

Content Provider	Scilit
Author	Conder, Marston D. E.
Copyright Year	1984
Description	Given positive integers k, l, m, the (k, l, m) triangle group has presentation δ(k, l, m) = < X, Y, Z \| $X^{k}$ = $Y^{l}$ = $Z^{m}$ = XYZ = 1 >. This paper considers finite permutation representations of such groups. In particular it contains descriptions of graphical and computational techniques for handling them, leading to new results on minimal two-element generation of the finite alternating and symmetric groups and the group of Rubik's cube. Applications to the theory of regular maps and automorphisms of surfaces are also discussed.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/313E87FB715617997986B3B86837A8FC/S0004972700001738a.pdf/div-class-title-some-results-on-quotients-of-triangle-groups-div.pdf
Ending Page	90
Page Count	18
Starting Page	73
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700001738
Journal	Bulletin of the Australian Mathematical Society
Issue Number	1
Volume Number	30
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1984-08-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Some results on quotients of triangle groups