On bounded conciseness of Engel-like words in residually finite groups
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DOI: 10.1016/j.jalgebra.2018.11.020
Abstract: Abstract Given a group-word w and a group G, the verbal subgroup w ( G ) is the one generated by all w-values in G. The word w is said to be boundedly concise if… read more here.
Keywords: bounded conciseness; residually finite; finite groups; engel like ... See more keywords
A Menon-type identity with many tuples of group of units in residually finite Dedekind domains
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DOI: 10.1016/j.jnt.2016.11.023
Abstract: Abstract B. Sury proved the following Menon-type identity, ∑ a ∈ U ( Z n ) , b 1 , ⋯ , b r ∈ Z n gcd ( a − 1 , b… read more here.
Keywords: group units; menon type; type identity; identity ... See more keywords
Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
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DOI: 10.5802/crmath.61
Abstract: It is well known that Sullivan showed that the mapping class group of a simply connected highdimensional manifold is commensurable with an arithmetic group, but the meaning of “commensurable” in this statement seems to be… read more here.
Keywords: arithmetic group; group; simply connected; mapping class ... See more keywords