Groups with small cocentralizers

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Authors: Javier Otal, Semko, N.N.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154633
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Groups with small cocentralizers / Javier Otal, N.N. Semko // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 135–157. — Бібліогр.: 65 назв. — англ.

Let G be a group. If S⊆G is a G-invariant subset of G, the factor-group G/CG(S) is called the cocentralizer of S in G. In this survey-paper we review some results dealing with the influence of several cocentralizers on the structure of the group, a direction of research to which Leonid A. Kurdachenk...