Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

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

New paper of a Lincoln algebraist in a high-ranking mathematical journal

New paper by Evgeny Khukhro (Univ. of Lincoln) and Pavel Shumyatsky (Univ. of Brasilia) “Compact groups with countable Engel sinks” has been accepted for publication in one of the highest-ranking mathematical … Continue reading

April 14, 2020 · 2 Comments

December 2019 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.  Precious few new solutions appear, both of problems from the latest section and from the … Continue reading

December 30, 2019 · 1 Comment

A paper accepted by the Glasgow Mathematical Journal

A paper by Marina Avitabile (Univ. of Milano Bicocca) and Sandro Mattarei (Univ. of Lincoln), Generalized finite polylogarithms, has been accepted for publication in the Glasgow Mathematical Journal. Abstract: We introduce … Continue reading

October 11, 2019 · Leave a comment

August 2019 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.  Precious few new solutions appear, both of problems from the latest section and from the … Continue reading

September 9, 2019 · 1 Comment

Paper accepted by Mathematische Nachrichten

A paper by Jan Boschheidgen, Benjamin Klopsch and Anitha Thillaisundaram on “Generating pairs of projective special linear groups that fail to lift” has been accepted by Mathematische Nachrichten.

August 27, 2019 · Leave a comment

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