FRAGILE WORDS AND CAYLEY TYPE TRANSDUCERS

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DANGELI DANIELE; RODARO EMANUELE

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Journal Paper

Paper Information

Journal: INTERNATIONAL JOURNAL OF GROUP THEORY Year:2018 | Volume:7 | Issue:3 Page(s): 96-109

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Information Journal Paper

Title

FRAGILE WORDS AND CAYLEY TYPE TRANSDUCERS

Author(s)

DANGELI DANIELE | RODARO EMANUELE | Issue Writer Certificate

Keywords

FRAGILE WORDS

CAYLEY TYPE TRANSDUCERS

AUTOMATON GROUPS

Abstract

We address the problem of finding examples of non-bireversible transducers defining free groups, we show examples of transducers with sink accessible from every state which generate free groups, and, in general, we link this problem to the non-existence of certain words with interesting combinatorial and geometrical properties that we call fragile words. By using this notion, we exhibit a series of transducers constructed from Cayley graphs of finite groups whose defined semi groups are free, and thus having exponential growth.

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APA: Copy

DANGELI, DANIELE, & RODARO, EMANUELE. (2018). FRAGILE WORDS AND CAYLEY TYPE TRANSDUCERS. INTERNATIONAL JOURNAL OF GROUP THEORY, 7(3), 96-109. SID. https://sid.ir/paper/708810/en

Vancouver: Copy

DANGELI DANIELE, RODARO EMANUELE. FRAGILE WORDS AND CAYLEY TYPE TRANSDUCERS. INTERNATIONAL JOURNAL OF GROUP THEORY[Internet]. 2018;7(3):96-109. Available from: https://sid.ir/paper/708810/en

IEEE: Copy

DANIELE DANGELI, and EMANUELE RODARO, “FRAGILE WORDS AND CAYLEY TYPE TRANSDUCERS,” INTERNATIONAL JOURNAL OF GROUP THEORY, vol. 7, no. 3, pp. 96–109, 2018, [Online]. Available: https://sid.ir/paper/708810/en

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