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Abstract For a finite nonabelian group G, let be the smallest integer m such that G contains m proper centralizers with property In this article, we find for some groups… Click to show full abstract
Abstract For a finite nonabelian group G, let be the smallest integer m such that G contains m proper centralizers with property In this article, we find for some groups of interest. For two isoclinic groups G1 and G2, we prove that Also we give an upper bound for and determine groups for which this bound is sharp. We investigate groups G for which where is the minimum size of a maximal subset of pairwise non-commuting elements of a group G.
Keywords:
domination number;
finitely many;
groups covered;
many centralizers;
centralizers domination;
covered finitely
Journal Title: Communications in Algebra
Year Published: 2019
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Journal Title: Communications in Algebra
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!