Charlotte Scott Centre for Algebra

School of Engineering and Physical Sciences, University of Lincoln

New paper accepted in Journal of Number Theory

The paper by Sandro Mattarei and Roberto Tauraso, From generating series to polynomial congruences, has been accepted for publication in Journal of Number Theory. (You may find the final version in preprint form at https://arxiv.org/pdf/1703.02322.pdf.) … Continue reading

July 12, 2017 · 1 Comment

Call for new Kourovka problems in Group Theory

Evgeny Khukhro announced a start for preparation of the new 19th edition of the “Kourovka Notebook” — the famous collection of unsolved problems in Group Theory and related areas. This publication originated in … Continue reading

June 11, 2017 · 1 Comment

New paper accepted in Journal of Algebra

The paper by Evgeny Khukhro and Pavel Shumyatsky “Almost Engel compact groups”, http://dx.doi.org/10.1016/j.jalgebra.2017.04.021, has just been accepted for publication in Journal of Algebra. (See also https://arxiv.org/pdf/1610.02079.pdf.) Abstract: We say that a group is almost … Continue reading

May 5, 2017 · 1 Comment

New paper

Sandro Mattarei and Roberto Tauraso, From generating series to polynomial congruences, 24 pages, submitted, 2017; arXiv:1703.02322. Abstract: Consider an ordinary generating function , of an integer sequence of some combinatorial relevance, and … Continue reading

March 21, 2017 · Leave a comment

New update for “Unsolved problems in group theory (Kourovka Notebook)”

“Kourovka Notebook” is a collection of open problems  in Group Theory proposed by more than 300 mathematicians from all over the world. It has been published every 2-4 years since … Continue reading

December 29, 2016 · Leave a comment

Paper accepted for publication

The paper  by Evgeny Khukhro and Pavel Shumyatsky Engel-type subgroups and length parameters of finite groups has been accepted for publication in Israel Journal of Mathematics. The results of the paper have been … Continue reading

December 9, 2016 · Leave a comment

Paper accepted for publication

The paper by E. I. Khukhro and P. Shumyatsky, Almost Engel finite and profinite groups  has been accepted for publication in the International  Journal of Algebra and Computation, ISSN  0218-1967, see … Continue reading

June 5, 2016 · Leave a comment

New update for “Unsolved problems in group theory (Kourovka Notebook)”

New update for the current 18th edition has been posted at http://arxiv.org/abs/1401.0300 . In addition, for convenience of the readers, all the changes made since the 18th edition first appeared are … Continue reading

April 5, 2016 · Leave a comment

New paper

E. I. Khukhro and P. Shumyatsky, Almost Engel finite and profinite groups, submitted, 2015; arXiv:1512.06097. Abstract: Let be an element of a group . For a positive integer , let be … Continue reading

January 4, 2016 · Leave a comment

New paper

Evgeny Khukhro, Pavel Shumyatsky, Engel-type subgroups and length parameters of finite groups, http://arxiv.org/abs/1506.00233

June 3, 2015 · Leave a comment

New update for “Unsolved problems in group theory (Kourovka Notebook)”

New update for the current 18th edition has been posted at http://arxiv.org/abs/1401.0300 . In addition, for convenience of the readers, all the changes made since the 18th edition first appeared … Continue reading

June 3, 2015 · Leave a comment

New paper

E. I. Khukhro, On finite soluble groups with almost fixed-point-free automorphisms of non-coprime order; http://arxiv.org/abs/1501.02071

January 12, 2015 · Leave a comment

New update for “Unsolved problems in group theory (Kourovka Notebook)”

New update for the current 18th edition has been posted at  http://arxiv.org/abs/1401.0300  . In addition, for convenience of the readers, all the changes made since the 18th edition first appeared are also … Continue reading

December 2, 2014 · Leave a comment

New paper

E. I. Khukhro, N. Yu. Makarenko, and P. Shumyatsky, Locally Finite Groups Containing A 2-Element With Chernikov Centralizer http://arxiv.org/pdf/1410.1521.pdf  (already accepted for publication in Monatshefte fuer Mathematik).

October 27, 2014 · Leave a comment

Manuscript found in Brasilia (Brian Hartley’s unpublished note of 1994)

Thanks to Prof. Pavel Shumyatsky, an unpublished manuscript of Brian Hartley of 1994 was discovered, where he proves a nice result on bounding the Fitting height of a finite soluble … Continue reading

October 14, 2014 · Leave a comment

New paper

E. I. Khukhro, N. Yu. Makarenko, and P. Shumyatsky, Finite groups and Lie rings with an automorphism of order $2^n$, http://arxiv.org/abs/1409.7807

September 30, 2014 · Leave a comment

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