Open AccessON THE STRUCTURE AND AUTOMORPHISM GROUP OF FINITE ALEXANDER QUANDLES
Author(s) -
Amiel Ferman,
Tahl Nowik,
Mina Teicher
Publication year - 2011
Publication title -
journal of knot theory and its ramifications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.552
H-Index - 39
eISSN - 1793-6527
pISSN - 0218-2165
DOI - 10.1142/s0218216511008863
Subject(s) - mathematics , automorphism , automorphism group , prime (order theory) , order (exchange) , group (periodic table) , pure mathematics , inner automorphism , combinatorics , chemistry , organic chemistry , finance , economics
We prove that an Alexander quandle of prime order is generated by any pair ofdistinct elements. Furthermore, we prove for such a quandle that any orderedpair of distinct elements can be sent to any other such pair by an automorphismof the quandle.
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