V. Bovdi

activity

20002005

most citedTorsion-free crystallographic groups with indecomposable holonomy group

1 citations · 1 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.RA2000

On the order of the unitary subgroup of modular group algebra

Victor Bovdi, A. L. Rosa

Let KG be a group algebra of a finite p-group G over a finite field K of characteristic p. We compute the order of the unitary subgroup of the group of units when G is either an ex…

math.RA2000

On elements in algebras having finite number of conjugates

Victor Bovdi

Let $R$ be a ring with unity and $U (R)$ its group of units. Let $Δ U = {a \in U (R) ∣ [U (R) : C_{U (R)} (a)] < \infty}$ be the $F C$ -radical of $U (R)$ and let $\nabla(R)=\{a\in R\mid [U(R)…

math.RA2000

On a filtered multiplicative basis of group algebras

Victor Bovdi

Let $K$ be a field of characteristic $p$ and $G$ a nonabelian metacyclic finite $p$ -group. We give an explicit list of all metacyclic $p$ -groups $G$ , such that the group algebra $K…

math.RA2000

On symmetric units in group algebras

Victor Bovdi

Let $U (K G)$ be the group of units of the group ring $K G$ of the group $G$ over a commutative ring $K$ . The anti-automorphism $g\mapsto g\m1$ of $G$ can be extended linearly to an a…

math.RA2000

Group algebras whose involutory units commute

Victor Bovdi, Michael Dokuchaev

Let K be a field of characteristic 2 and G a nonabelian locally finite 2-group. Let V(KG) be the group of units with augmentation 1 in the group algebra KG. An explicit list of gro…