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The generalized genetic code. A note on order‐isomorphism/order‐equivalence relations
Author(s) -
Findley A. M.,
Findley G. L.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560220708
Subject(s) - isomorphism (crystallography) , mathematics , equivalence (formal languages) , equivalence relation , constructive , order (exchange) , extension (predicate logic) , algebra over a field , code (set theory) , pure mathematics , computer science , chemistry , crystal structure , set (abstract data type) , process (computing) , finance , programming language , economics , crystallography , operating system
Constructive and combinatorial relationships between order‐isomorphisms and order‐equivalence classes within the generalized genetic code are presented, not only for the biologically relevant groups of order 4, but also for finite groups of arbitrary order. The main result is the derivation of the number (and types) or order‐equivalence classes for a group of order n . Finally, an extension of this work to all biologically admissible alternative codes is discussed.