6 citations · 13 across the 19 of their papers we have counts for
9 papers · 1 filter
Tits Endomorphisms and Buildings of Type
Tom De Medts, Yoav Segev, Richard M. Weiss
The fixed point building of a polarity of a Moufang quadrangle of type is a Moufang set, as is the fixed point building of a semi-linear automorphism of order of a Moufan…
Relative Schur multipliers and universal extensions of group homomorphisms
Emmanuel D. Farjoun, Yoav Segev
In this note, starting with any group homomorphism , which is surjective upon abelianization, we construct a universal central extension $u\colon U\twoheadrightarrow…
A sharply 2-transitive group without a non-trivial abelian normal subgroup
Eliyahu Rips, Yoav Segev, Katrin Tent
We show that any group is contained in some sharply 2-transitive group without a non-trivial abelian normal subgroup. This answers a long-standing open question.…
Subnormal closure of a homomorphism
Emmanuel D. Farjoun, Yoav Segev
Let be a homomorphism of groups. In this paper we introduce the notion of a subnormal map (the inclusion of a subnormal subgroup into a group being a basic prototyp…
Normal closure and injective normalizer of a group homomorphism
Emmanuel D. Farjoun, Yoav Segev
Let be a homomorphism of groups. We consider factorizations of such that either or are universal normal maps (name…
Idempotent deformations of finite groups
Martin Blomgren, Wojciech Chachólski, Emannuel Dror Farjoun +1
The action of the idempotent deformations on finite groups is discussed. This action is described in terms of the homological properties of groups. The orbits of finite simple grou…
Almost regular involutory automorphisms of uniquely 2-divisible groups
Yoav Segev
We prove that a uniquely 2-divisible group that admits an almost regular involutory automorphism is solvable.
The centralizers in the root group of a special Moufang set are abelian
Yoav Segev
In this note we prove that if is a special Moufang set and , then C_U(a) is abelian.
On kernels of cellular covers
Emmanuel D. Farjoun, Ruediger Goebel, Yoav Segev +1
In the present paper we continue to examine cellular covers of groups, focusing on the cardinality and the structure of the kernel K of the cellular map G-> M . We show that in gen…