PT Journal AU Tomanek, L Tomankova, A TI On One Class of the Infinite Non-Abelian Groups SO Communications - Scientific Letters of the University of Zilina PY 2010 BP 44 EP 47 VL 12 IS 3 DI 10.26552/com.C.2010.3.44-47 WP https://komunikacie.uniza.sk/artkey/csl-201003-0008.php DE a group; a commutator of group; a locally graded group; p-quasicyclic group; a direct and semidirect product of groups; an extension of the group SN 13354205 AB We present some properties of one class of the infinite non-abelian groups. We deal with a generalization of the INH and KI groups. Our main results are Theorem 1, 2, 3 and Theorem 4. ER