6 citations · 7 across the 4 of their papers we have counts for
4 papers
Subgroups of a finitary linear group
V. A. Bovdi, O. Yu. Dashkova, M. A. Salim
Let FL_s(K) be the finitary linear group of degree s over an associative ring K with unity. We prove that the torsion subgroups of FL_s(K) are locally finite for certain classes of…
Reduction of a pair of skew-symmetric matrices to its canonical form under congruence
V. A. Bovdi, T. G. Gerasimova, M. A. Salim +1
Let be a pair of skew-symmetric matrices over a field of characteristic not 2. Its regularization decomposition is a direct sum \[ (\underline{\underline A},\underline{\und…
Neighborhood radius estimation for Arnold's miniversal deformations of complex and -adic matrices
Victor A. Bovdi, Mohammed A. Salim, Vladimir V. Sergeichuk
V.I. Arnold (1971) constructed a simple normal form to which all complex matrices in a neighborhood of a given square matrix can be reduced by similarity transformation…
Group algebras whose groups of normalized units have exponent 4
V. A. Bovdi, M. A. Salim
We give a full description of locally finite p-groups G such that the normalized group of units V(FG) of the group algebra FG over a field F of characteristic p has exponent 4.