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
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
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
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
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
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
New paper
Evgeny Khukhro, Pavel Shumyatsky, Engel-type subgroups and length parameters of finite groups, http://arxiv.org/abs/1506.00233
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
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
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
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).
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
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
forthcoming papers
E. I. Khukhro and P. Shumyatsky, On the length of finite groups and of fixed points, to appear in Proc. Amer. Math. Soc., http://arxiv.org/abs/1405.1946 E. I. Khukhro and P. Shumyatsky, … Continue reading
papers of 2014
E. I. Khukhro, N.Yu. Makarenko, and P. Shumyatsky, Frobenius groups of automorphisms and their fixed points, Forum Math. 26 (2014), 73–112. G. Ercan, I. Guloglu, and E. I. Khukhro, Rank and order … Continue reading
papers of 2013
E. I. Khukhro and N. Yu. Makarenko, Lie algebras admitting a metacyclic Frobenius group of automorphisms,Siberian Math. J. 54, no. 1 (2013), 100–114. E. I. Khukhro, Counterexamples to a rank analogue of … Continue reading
Charlotte Scott Centre for Algebra 