Displaying similar documents to “Separable group-ring extensions.”

Solvable groups with many BFC-subgroups.

O. D. Artemovych (2000)

Publicacions Matemàtiques

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We characterize the solvable groups without infinite properly ascending chains of non-BFC subgroups and prove that a non-BFC group with a descending chain whose factors are finite or abelian is a Cernikov group or has an infinite properly descending chain of non-BFC subgroups.

Unitary subgroup of integral group rings.

Adalbert A. Bovdi, Sudarshan K. Sehgal (1992)

Publicacions Matemàtiques

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Let A be a finite abelian group and G = A x 〈b〉, b = 1, a = a, ∀a ∈ A. We find generators up to finite index of the unitary subgroup of ZG. In fact, the generators are the bicyclic units. For an arbitrary group G, let B(ZG) denote the group generated by the bicyclic units. We classify groups G such that B(ZG) is unitary.