CORDIS Project
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This project investigates the concepts of conciseness and strong conciseness of words in specific types of mathematical groups, particularly residually finite and profinite groups. It employs a multidisciplinary approach, integrating group theory, topology, and measure theory to explore these properties and advance und…
The notion of conciseness of words in groups was introduced by Phillip Hall at the beginning of the second half of the past century.
Hall conjectured that every word is concise in the class of all groups, but this was proved to be false in 1989 by Ivanov in its general form.
However, the question whether every word is concise in the class of residually finite groups, raised by Andrei Jaikin-Zapirain, is still open, and is currently the main conjecture in the topic.In recent years, the notion of…
UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA
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Brazil, Brasilia Df
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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