The generalized commutativity degree in a finite group
The generalized commutativity degree in a finite group
Summary: Extending the notion of probability of commuting pairs [\textit{P. Erdős} and \textit{P. Turán}, Acta Math. Acad. Sci. Hung. 19, 413-435 (1968; Zbl 0235.20004); \textit{R. M. Guralnick} and \textit{G. R. Robinson}, J. Algebra 300, No. 2, 509-528 (2006; Zbl 1100.20045); \textit{W. H. Gustafson}, Am. Math. Mon. 80, 1031-1034 (1973; Zbl 0276.60013); \textit{P. Lescot}, J. Algebra 177, No. 3, 847-869 (1995; Zbl 0841.20026)], it is introduced that of generalized commutativity degree. Its influence on the group structure is investigated.
- University of Palermo Italy
commutativity degree, $p$-groups, probabilities in groups, commuting elements, Probabilistic methods in group theory, norms of groups, generalized commutativity degrees, Probability measures on groups or semigroups, Fourier transforms, factorization, Arithmetic and combinatorial problems involving abstract finite groups
commutativity degree, $p$-groups, probabilities in groups, commuting elements, Probabilistic methods in group theory, norms of groups, generalized commutativity degrees, Probability measures on groups or semigroups, Fourier transforms, factorization, Arithmetic and combinatorial problems involving abstract finite groups
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!