Karl Auinger

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Fields of interest:
The main focus of my research lies in the area of semigroups and groups (pseudovarieties of finite semigroups, equational theories, graph theoretic methods, connections with formal languages and automata theory).

Selected publications

• On the extension problem for partial permutations, (with B. Steinberg), Proc. Amer. Math. Soc. 131 (2003), 2693--2703.
• The geometry of profinite graphs with applications to free groups and finite monoids (with B. Steinberg), Trans. Amer. Math. Soc. 356 (2004), 805--851.
• A new proof of the Rhodes type II conjecture, Internat. J. Algebra Comput. 14 (2004), 551--568.
• Matrix identities involving multiplication and transposition (with I. Dolinka and M.V. Volkov), J. Eur. Math. Soc. (JEMS) 14 (2012), no. 3, 937–969.[PDF]
• On the power pseudovariety PCS. Publ. Mat. 56 (2012), no. 2, 449–465.[PDF]
• Pseudovarieties generated by Brauer type monoids. Forum Math. 26 (2014), no. 1, 1–24.[PDF]