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math.GR2013
On the commuting probability and supersolvability of finite groups
Paul Lescot, Hung Ngoc Nguyen, Yong Yang
For a finite group , let denote the probability that a randomly chosen pair of elements of commute. We prove that if for some integer and splits…
math.PR2013★ 6 cited
Prime and primary ideals in characteristic one
Paul Lescot
We study zero divisors and minimal prime ideals in semirings of characteristic one. Thereafter we find a counterexample to the most obvious version of primary decomposition, but ar…
math.RA2013★ 1 cited
Absolute Algebra III - The saturated spectrum
Paul Lescot
Let B1 denote the set {0,1} with the usual operations except that , in other words, the smallest characteristic 1 semifield . We compare two possible analogues of the notion…