LINEAR EXTENSIONS OF MULTIPLE CONJUGATION QUANDLES AND MCQ ALEXANDER PAIRS

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Abstract

A quandle is an algebra whose axioms are motivated from knot theory. A linear extension of a quandle can be described by using a pair of maps called an Alexander pair. In this paper, we show that a linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair, where a multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory.

MSC Codes Primary 57M27, Secondary 57M25, 57M15

Original languageEnglish
JournalUnknown Journal
Publication statusPublished - 2019 May 7

Keywords

  • And phrases. multiple conjugation quandle
  • Handlebody-knot
  • Linear extension
  • MCQ Alexander pair

ASJC Scopus subject areas

  • General

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