On groups with weak Sierpiński subsets

Speaker(s)

Agnieszka Bier

Affiliation

Politechnika Śląska

Date

April 29, 2021, 12:15 p.m.

Information about the event

Zoom

Seminar

Seminar Algebra

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This is joint work with Y. Cornulier and P. Słanina.
Let G be an infinite group. A subset E of  G is called a weak Sierpiński subset if there exist two elements g, h in G and two distinct points a and b in E  such that  gE=E \{a} and hE=E\{b}. In the talk we discuss the subgroup H=<g,h> and provide its presentation if it is not free over (g,h). We also characterize all weak Sierpiński subsets in groups with such a presentation.

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