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19942026
most citedDynamical clustering and phase separation in suspensions of self-propelled colloidal particles

1.2k citations

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47 papers · 1 filter

math.GR2024★ 2 cited

Profinite rigidity of affine Coxeter groups

Samuel M. Corson, Sam Hughes, Philip Möller +1

We prove that affine Coxeter groups are profinitely rigid.

math.GR2024

Involutions in Coxeter groups

Anna Michael, Yuri Santos Rego, Petra Schwer +1

We combinatorially characterize the number of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally genera…

math.GR2023

Gassmann triples with special cycle types and applications

Holger Kammeyer, Steffen Kionke

We show that if one of various cycle types occurs in the permutation action of a finite group on the cosets of a given subgroup, then every almost conjugate subgroup is conjugate.…

math.GR2023★ 1 cited

Steep uncountable groups

Samuel M. Corson, Alexander Olshanskii, Olga Varghese

We produce a simple group of cardinality which is Artinian (every strictly descending chain of subgroups is finite), satisfies a Burnside law and such that for each…

math.GR2023★ 2 cited

Bounded cohomology is not a profinite invariant

Daniel Echtler, Holger Kammeyer

We construct pairs of residually finite groups with isomorphic profinite completions such that one has non-vanishing and the other has vanishing real second bounded cohomology. The…

math.GR2023★ 2 cited

Common zeros of irreducible characters

Nguyen N. Hung, Alexander Moretó, Lucia Morotti

We study the zero-sharing behavior among irreducible characters of a finite group. For symmetric groups , it is proved that, with one exception, any two irreducible characters…