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pro vyhledávání: '"Atkarskaya, Agatha"'
We show that the free Burnside groups $B(m,n)$ are infinite for $m\geq 2$ and odd $n\geq 557$, the best currently known lower bound for the exponent. The proof uses iterated small cancellation theory where the induction is based on the nesting depth
Externí odkaz:
http://arxiv.org/abs/2303.15997
Autor:
Atkarskaya, Agatha
In this paper we prove that small cancellation rings under some natural restrictions are non-amenable and contain non-commutative free associative algebra.
Comment: Added references, revised argument in section 5, in general the results unchange
Comment: Added references, revised argument in section 5, in general the results unchange
Externí odkaz:
http://arxiv.org/abs/2210.13303
Autor:
Atkarskaya, Agatha
In this paper we prove that group like small cancellation rings under some natural conditions contain non-commutative free associative algebra.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a5f7b824c2c149e09c737d561b83fea
http://arxiv.org/abs/2210.13303
http://arxiv.org/abs/2210.13303