Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

June 2021 update for the “Kourovka Notebook (Unsolved Problems in Group Theory)”

An update for the current 19th edition of “Kourovka Notebook (Unsolved Problems in Group Theory)” is  posted.  A few new solutions and new references appear, both for problems from the latest section … Continue reading

June 14, 2021 · 1 Comment

New paper accepted by Monatshefte für Mathematik

New paper by Evgeny Khukhro (Univ. of Lincoln) and Pavel Shumyatsky (Univ. of Brasilia) “Profinite groups with an automorphism of prime order whose fixed points have finite Engel sinks” has been accepted for … Continue reading

April 20, 2021 · Leave a comment

New paper accepted by Israel Journal of Mathematics

New paper by Evgeny Khukhro (Univ. of Lincoln) and Pavel Shumyatsky (Univ. of Brasilia) “On profinite groups with automorphisms whose fixed points have countable Engel sinkss” has been accepted for publication … Continue reading

March 12, 2021 · Leave a comment

New paper accepted by Bulletin of the Brazilian Mathematical Society

New paper by Evgeny Khukhro (Univ. of Lincoln) and Pavel Shumyatsky (Univ. of Brasilia) “On finite groups with an automorphism of prime order whose fixed points have bounded Engel sinks” has … Continue reading

February 20, 2021 · Leave a comment

Classification of a type of graded Lie algebras of maximal class

A collaboration across countries and over several years has taken place between Sandro Mattarei and two of his former PhD students, Claudio Scarbolo and Valentina Iusa, resulting in a preprint … Continue reading

February 9, 2021 · 2 Comments

New results on automorphisms of profinite groups in a joint work of Lincoln and Brasilia algebraists

In a new joint work, Evgeny Khukhro (Lincoln) and Pavel Shumyatsky (University of Brasilia) obtained new results on profinite groups with automorphisms whose fixed points satisfy generalized Engel conditions. The … Continue reading

January 13, 2021 · 1 Comment

December 2020 update for the “Kourovka Notebook (Unsolved Problems in Group Theory)”

An update for the current 19th edition of “Kourovka Notebook (Unsolved Problems in Group Theory)” is  posted.  A few new solutions and new references appear, both for problems from the latest section … Continue reading

December 12, 2020 · Leave a comment

New paper accepted by Journal of Algebra

New paper by Evgeny Khukhro (Univ. of Lincoln), Alexander Moretó (Univ. of Valencia, Spain), and Mohammad Zarrin (Univ. of Kurdistan, Iran),  “The average element order and the number of conjugacy classes of … Continue reading

November 20, 2020 · Leave a comment

Paper accepted by the Journal of Group Theory

A paper by Anitha Thillaisundaram and Jone Uria-Albizuri on “The profinite completion of multi-EGS groups” has been accepted for publication by the Journal of Group Theory.

October 26, 2020 · Leave a comment

New paper accepted by Proceedings of the Royal Society of Edinburgh, section A – Mathematics

New paper by Evgeny Khukhro (Univ. of Lincoln) and Pavel Shumyatsky (Univ. of Brasilia) “Compact groups in which all elements have countable right Engel sinks” has been accepted for publication in … Continue reading

October 14, 2020 · Leave a comment

New collaborative research in algebra

Despite current difficulties in international travel, new online collaboration of Evgeny Khukhro (Univ. of Lincoln) with algebraists in Spain (Alexander Moretó, Univ. of Valencia) and Iran (Mohammad Zarrin, Univ. of … Continue reading

September 18, 2020 · 1 Comment

Paper accepted by the International Journal of Algebra and Computation

A paper by Marialaura Noce and Anitha Thillaisundaram on “Hausdorff dimension of the second Grigorchuk group” has been accepted for publication by the International Journal of Algebra and Computation, and … Continue reading

July 9, 2020 · Leave a comment

June 2020 update for the “Kourovka Notebook (Unsolved Problems in Group Theory)”

An update for the current 19th edition of “Kourovka Notebook (Unsolved Problems in Group Theory)” is  posted.  A few new solutions and new references appear, both for problems from the latest section … Continue reading

June 24, 2020 · 1 Comment

Paper accepted by Archiv der Mathematik

A paper by Rachel Camina, Ainhoa Iniguez and Anitha Thillaisundaram on “Word problems for finite nilpotent groups” has been accepted by Archiv der Mathematik for publication.

June 19, 2020 · Leave a comment

New applications of Lie ring methods in a joint work of Lincoln and Brasilia algebraists

In a new joint work, Evgeny Khukhro (Lincoln) and Pavel Shumyatsky (University of Brasilia) succeeded in applying two different Lie ring methods in the study of profinite groups with automorphisms … Continue reading

June 13, 2020 · 1 Comment

Algebraists of Lincoln and Brasilia forge ahead research collaboration despite adversity

Despite current disruptions to international travel and cancelled conferences, Evgeny Khukhro continues fruitful collaboration with Pavel Shumyatsky (University of Brasilia) on profinite and compact groups satisfying generalized Engel conditions. Their … Continue reading

May 13, 2020 · 1 Comment

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