Wabash College

output

19982025

most citedTests of new physics from precise measurements of the Casimir pressure between two gold-coated plates

415 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing math.GRShow all

11 papers · 1 filter

math.GR2007

The varieties of quasigroups of Bol-Moufang type: An equational reasoning approach

J. D. Phillips, Petr Vojtěchovský

A quasigroup identity is of Bol-Moufang type if two of its three variables occur once on each side, the third variable occurs twice on each side, the order in which the variables a…

math.GR2007★ 1 cited

The varieties of loops of Bol-Moufang type

J. D. Phillips, Petr Vojtěchovský

A loop identity is of Bol-Moufang type if two of its three variables occur once on each side, the third variable occurs twice on each side, and the order in which the variables app…

math.GR2006★ 9 cited

F-quasigroups isotopic to groups

Tomaš Kepka, Michael K. Kinyon, J. D. Phillips

In math.GR/0510298, we showed that every loop isotopic to an F-quasigroup is a Moufang loop. Here we characterize, via two simple identities, the class of F-quasigroups which are i…

math.GR2006

When is the commutant of a Bol loop a subloop?

Michael K. Kinyon, J. D. Phillips, Petr Vojtěchovský

A left Bol loop is a loop satisfying $x (y (x z)) = (x (y x)) z$ . The commutant of a loop is the set of elements which commute with all elements of the loop. In a finite Bol loop of odd…

math.GR2005★ 6 cited

The Structure of F-Quasigroups

Tomáš Kepka, Michael K. Kinyon, J. D. Phillips

We solve a problem of Belousov which has been open since 1967: to characterize the loop isotopes of F-quasigroups. We show that every F-quasigroup has a Moufang loop isotope which…

math.GR2004

C-loops: extensions and constructions

Michael K. Kinyon, J. D. Phillips, Petr Vojtěchovský

C-loops are loops satisfying the identity $x (y \cdot y z) = (x y \cdot y) z$ . We develop the theory of extensions of C-loops, and characterize all nuclear extensions provided the nucleu…

math.GR2004

Finite Bruck Loops

Michael Aschbacher, Michael K. Kinyon, J. D. Phillips

A loop $(X, \circ)$ is said to be a Bruck loop if it satisfies the (right) Bol identity $((z \circ x) \circ y) \circ x = z \circ ((x \circ y) \circ x)$ and the automorphic inverse propert…

math.GR2002★ 1 cited

Diassociativity in Conjugacy Closed Loops

Michael K. Kinyon, Kenneth Kunen, J. D. Phillips

Let $Q$ be a conjugacy closed loop, and $N (Q)$ its nucleus. Then $Z (N (Q))$ contains all associators of elements of $Q$ . If in addition $Q$ is diassociative (i.e., an extra loop), t…

math.GR2002★ 2 cited

Commutants of Bol loops of Odd Order

Michael K. Kinyon, J. D. Phillips

In this note we show that the commutant of a Bol loop of odd order is a subloop.

math.GR2001

A Generalization of Moufang and Steiner Loops

Michael K. Kinyon, Kenneth Kunen, J. D. Phillips

We study a variety of loops, RIF, which arise naturally from considering inner mapping groups, and a somewhat larger variety, ARIF. All Steiner and Moufang loops are RIF, and all f…

math.GR2000

Every diassociative A-loop is Moufang

Michael K. Kinyon, Kenneth Kunen, J. D. Phillips

An A-loop is a loop in which every inner mapping is an automorphism. We settle a problem which had been open since 1956 by showing that every diassociative A-loop is Moufang.