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The relationships of Ivar(G) with Inner automorphisms in S(G)-autonilpotent groups | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 1-14 اصل مقاله (179.66 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.29119.1737 | ||
| نویسندگان | ||
| S. Barin* ؛ M. M. Nasrabadi | ||
| Department of Mathematics, University of Birjand, Birjand, Iran | ||
| چکیده | ||
| Bachmuth defined an IA-automorphism of a group G as an automorphism of G which induces the identity automorphism on G/G'. Ghumde and Ghate introduced S(G) and Ivar(G) subgroups. In this paper, we first introduce a new series on the IA-central subgroup and verify the relationships of the members of this series. Also, we give a new definition for S(G)-autonilpotency on this series. Then, we discuss some properties of these concepts with some theorem and their corollaries. We investigate the members of Ivar(G) fixing the center element-wise. At the end of this paper, we study the conditions in which Ivar(G) relate to Inner automorphisms in S(G)-autonilpotent groups. | ||
| کلیدواژهها | ||
| IA-group؛ Ivar(G)؛ Inner automorphisms؛ IA-central subgroup؛ S(G)-autonilpotent groups | ||
| مراجع | ||
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