A characterization of the simple Group He.

Güloğlu, İsmail Şuayip


On the Schur indices of finite groups.
Sharary, Ahmad; Igeda, M. G.; Department of Mathematics (1981)
Description of Barely Transitive Groups with Soluble Point Stabilizer
Betin, Cansu; Kuzucuoğlu, Mahmut (Informa UK Limited, 2009-6-4)
We describe the barely transitive groups with abelian-by-finite, nilpotent-by-finite and soluble-by-finite point stabilizer. In article [6] Hartley asked whether there is a torsionfree barely transitive group. One consequence of our results is that there is no torsionfree barely transitive group whose point stabilizer is nilpotent. Moreover, we show that if the stabilizer of a point is a permutable subgroup of an infinitely generated barely transitive group G, then G is locally finite.
The mapping class group is generated by two commutators
Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01)
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. All rights reserved.
The fitting length of finite groups admitting an automorphism of prime order
Abu Joukha, Jaber H H; Güloğlu, İsmail Ş.; Department of Mathematics (1990)
An infinite family of strongly real Beauville p-groups
Gul, Sukran (2018-04-01)
We give an infinite family of non-abelian strongly real Beauville p-groups for every prime p by considering the quotients of triangle groups, and indeed we prove that there are non-abelian strongly real Beauville p-groups of order for every or 7 according as or or . This shows that there are strongly real Beauville p-groups exactly for the same orders for which there exist Beauville p-groups.
Citation Formats
İ. Ş. Güloğlu, “A characterization of the simple Group He.,” Ph.D. - Doctoral Program, Middle East Technical University, 1979.