Cyclic orders and graphs of groups

Harrison J. McDonough; Daniel T. Wise

doi:10.1017/S0013091524000270

Cyclic orders and graphs of groups

Harrison J. McDonough, Daniel T. Wise

Research output: Contribution to journal › Article › peer-review

Abstract

We examine a cyclic order on the directed edges of a tree whose vertices have cyclically ordered links. We use it to show that a graph of groups with left-cyclically ordered vertex groups and convex left-ordered edge groups is left-cyclically orderable.

Original language	English
Pages (from-to)	1125-1136
Number of pages	12
Journal	Proceedings of the Edinburgh Mathematical Society
Volume	67
Issue number	4
DOIs	https://doi.org/10.1017/S0013091524000270
State	Published - 1 Nov 2024
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S0013091524000270

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title = "Cyclic orders and graphs of groups",

abstract = "We examine a cyclic order on the directed edges of a tree whose vertices have cyclically ordered links. We use it to show that a graph of groups with left-cyclically ordered vertex groups and convex left-ordered edge groups is left-cyclically orderable.",

author = "McDonough, \{Harrison J.\} and Wise, \{Daniel T.\}",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.",

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AB - We examine a cyclic order on the directed edges of a tree whose vertices have cyclically ordered links. We use it to show that a graph of groups with left-cyclically ordered vertex groups and convex left-ordered edge groups is left-cyclically orderable.

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U2 - 10.1017/S0013091524000270

DO - 10.1017/S0013091524000270

M3 - مقالة

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EP - 1136

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

IS - 4

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Cyclic orders and graphs of groups

Abstract

All Science Journal Classification (ASJC) codes

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