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Dive into the research topics where Yakov Berkovich is active.

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Featured researches published by Yakov Berkovich.


Archive | 2015

Groups of prime power order

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

Groups with few characters of small degrees

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

ON

Yakov Berkovich; Qinhai Zhang

The isomorphism types of all minimal nonabelian subgroups (


Journal of Algebra and Its Applications | 2014

\mathcal A_1

Yakov Berkovich

= \mathcal A_1


Journal of Algebra and Its Applications | 2017

- AND

Yakov Berkovich

-subgroups) of


Journal of Algebra and Its Applications | 2017

\mathcal A_2

Yakov Berkovich

\mathcal A_2


Journal of Algebra and Its Applications | 2017

-SUBGROUPS OF FINITE p-GROUPS

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

Finite groups all of whose small subgroups are normal

Yakov Berkovich

\mathcal A_1


Journal of Algebra and Its Applications | 2014

On the number of minimal nonabelian subgroups in a nonabelian finite p-group

Yakov Berkovich

-subgroups of minimal order. In particular, if a p-group G is neither abelian nor


Journal of Algebra and Its Applications | 2013

Some remarks on subgroups, epimorphic images and p′-automorphisms of finite p-groups

Yakov Berkovich

\mathcal A_1

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Lev Kazarin

Yaroslavl State University

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I. M. Isaacs

University of Wisconsin-Madison

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Avinoam Mann

Hebrew University of Jerusalem

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I. Martin Isaacs

University of Wisconsin-Madison

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