Yakov Berkovich
University of Haifa
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Featured researches published by Yakov Berkovich.
Archive | 2015
Yakov Berkovich; Zvonimir Janko
This is the fifth volume of a comprehensive and elementary treatment of finite p-group theory. Topics covered in this volume include theory of linear algebras and Lie algebras. The book contains many dozens of original exercises (with difficult exercises being solved) and a list of about 900 research problems and themes.
Israel Journal of Mathematics | 1999
Yakov Berkovich
Letd>1 be a proper divisor of the order of a finite groupG and let σd(G) be the sum of squares of degrees of those irreducible characters whose degrees are not divisible byd. It is easy to see thatd divides σd(G). The groupsG such that σd(G) =d coincide with Frobenius groups whose kernel has indexd (see G. Karpilovsky,Group Representations, Volume 1, Part B, North-Holland, Amsterdam, 1992, Theorem 37.5.5). In this note we study the case σd(G) = 2d in some detail. In particular, ifG is a 2-group, it is of maximal class (Remark 3(b)).
Journal of Algebra and Its Applications | 2014
Yakov Berkovich; Qinhai Zhang
The isomorphism types of all minimal nonabelian subgroups (
Journal of Algebra and Its Applications | 2014
Yakov Berkovich
= \mathcal A_1
Journal of Algebra and Its Applications | 2017
Yakov Berkovich
-subgroups) of
Journal of Algebra and Its Applications | 2017
Yakov Berkovich
\mathcal A_2
Journal of Algebra and Its Applications | 2017
Yakov Berkovich
-groups are described. This allows us to classify the nonabelian p-groups, p > 2, that have no p isomorphic
Journal of Algebra and Its Applications | 2015
Yakov Berkovich
\mathcal A_1
Journal of Algebra and Its Applications | 2014
Yakov Berkovich
-subgroups of minimal order. In particular, if a p-group G is neither abelian nor
Journal of Algebra and Its Applications | 2013
Yakov Berkovich
\mathcal A_1