Zobrazeno 1 - 6
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pro vyhledávání: '"Meisam Soleimani Malekan"'
Publikováno v:
Journal of Algebra. 631:136-147
Let $k$ be any positive integer and $G$ a compact (Hausdorff) group. Let $\mf{np}_k(G)$ denote the probability that $k+1$ randomly chosen elements $x_1,\dots,x_{k+1}$ satisfy $[x_1,x_2,\dots,x_{k+1}]=1$. We study the following problem: If $\mf{np}_k(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26d348dbee3317564daa1f5cbcc075ae
https://doi.org/10.1016/j.jalgebra.2023.05.005
https://doi.org/10.1016/j.jalgebra.2023.05.005
Publikováno v:
Journal of Group Theory. 25:63-73
Let 𝐺 be a discrete group. In 2001, Rosenblatt and Willis proved that 𝐺 is amenable if and only if every possible system of configuration equations admits a normalized solution. In this paper, we show independently that 𝐺 is locally finite i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::199310317db170894a9a9d2c4d0bf342
https://doi.org/10.1515/jgth-2020-0178
https://doi.org/10.1515/jgth-2020-0178
The following question is proposed by Martino, Tointon, Valiunas and Ventura in [4, question 1·20]:Let G be a compact group, and suppose that \[\mathcal{N}_k(G) = \{(x_1,\dots,x_{k+1}) \in G^{k+1} \;|\; [x_1,\dots, x_{k+1}] = 1\}\] has positive Haar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b293fe3b29fdff469b2df4210b6fefbe
Lévai and Pyber proposed the following as a conjecture: Let G be a profinite group such that the set of solutions of the equation x n = 1 {x^{n}=1} has positive Haar measure. Then G has an open subgroup H and an element t such that all elements of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::edb42dc784cc318af13f123254e0d14b
Autor:
Meisam Soleimani Malekan, Ali Rejali
Giving a condition for the the amenability of groups, Rosenblatt and Willis, first introduced the concept of configuration. From the beginning of the theory, the question whether the concept of configuration equivalence coincides with the concept of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7bf444008ca25ff7dd146c13dda7bddf
http://arxiv.org/abs/1605.00781
http://arxiv.org/abs/1605.00781
Autor:
Ali Rejali, Meisam Soleimani Malekan
The concept of configuration was first introduced to give a characterization for the amenability of groups. Then the concept of two-sided configuration was suggested to provide normality to study the group structures more efficiently. It has been int
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1546f80b7378d2c8bd30b8f7113b4196