2019
Том 71
№ 11

# Shunkov V. P.

Articles: 8
Article (Russian)

### On Frobenius groups with noninvariant factor SL 2(3)

Ukr. Mat. Zh. - 2006. - 58, № 6. - pp. 765–777

We obtain a criterion for the unsimplicity of an infinite group containing the infinite class of the Frobenius groups $L_g = \langle a, g^{-1} a g\rangle$ with complement $SL_2 ( 3 )$.

Article (Russian)

### Groups with handles of order different from three

Ukr. Mat. Zh. - 2004. - 56, № 8. - pp. 1030–1042

We obtain a test for the unsimplicity of an infinite group.

Brief Communications (English)

### On Placement of Prime Order Elements in a Group

Ukr. Mat. Zh. - 2002. - 54, № 6. - pp. 881-884

We characterize a class of T 0-groups related to the infinite Burnside groups of odd period.

Brief Communications (Russian)

### $T_0$-group and its place in the theory of groups

Ukr. Mat. Zh. - 1999. - 51, № 4. - pp. 572-576

A class of $T_0$-groups is characterized which is closely associated with free Burnside groups with odd period not less than 665. Examples based on the well-known Adyan and Olshanskii constructions are given. In addition, the place of a finite group in the class of all groups is indicated.

Article (Ukrainian)

### Sufficient criterion for the existence of a 2-complete part of a group

Ukr. Mat. Zh. - 1992. - 44, № 6. - pp. 827–835

We obtain a sufficient condition for the existence of a 2-complete part of a group.

Article (Ukrainian)

### On primary elements in groups

Ukr. Mat. Zh. - 1991. - 43, № 7-8. - pp. 1070–1077

Article (Ukrainian)

### Groups with finite periodic part

Ukr. Mat. Zh. - 1988. - 40, № 3. - pp. 374-384

Article (Ukrainian)

### On the theory of polycyclic groups

Ukr. Mat. Zh. - 1970. - 22, № 2. - pp. 222–231