Classication of special classes of almostcompletely decomposable groups of nite rank



Centralizers of involutions in locally finite groups
Kuzucuoğlu, Mahmut (Informa UK Limited, 2007-01-01)
The present article deals with locally finite groups G having an involution phi such that C-G(phi) is an SF-group. It is shown that G possesses a normal subgroup B which is a central product of. nitely many groups isomorphic to PSL(2, K-i) or SL(2, Ki) for some in finite locally finite fields K-i of odd characteristic, such that [G, phi]'/B and G/[G, phi] are both SF-groups.
Centralizers of involutions in locally finite-simple groups
Berkman, A.; Kuzucuoğlu, Mahmut; OeZyurt, E. (2007-01-01)
We consider infinite locally finite-simple groups (that is, infinite groups in which every finite subset lies in a finite simple subgroup). We first prove that in such groups, centralizers of involutions either are soluble or involve an infinite simple group, and we conclude that in either case centralizers of involutions are not inert subgroups. We also show that in such groups, the centralizer of an involution is linear if and only if the ambient group is linear.
Centralizers of elements in locally finite simple groups.
Sezer, Sezgin; Kuzucuoğlu, Mahmut; Department of Mathematics (1992)
HARTLEY, B; Kuzucuoğlu, Mahmut (Wiley, 1991-03-01)
Exotic 4-manifolds and hyperelliptic lefschetz fibrations
Altunöz, Tülin; Korkmaz, Mustafa; Department of Mathematics (2018)
In this thesis, we explicitly construct genus-3 Lefschetz fibrations over S2 whose total space is T2 S2#6CP2 using the monodromy of Matsumoto’s genus-2 Lefschetz fibration over S2. We also present exotic minimal symplectic 4-manifolds 3CP2#kCP2 for k = 13; : : : ; 19 by twisted fiber summing of our monodromy or the genus-3 version of generalized Matsumoto’s fibration constructed by Korkmaz or by applying lantern substitutions to these twisted fiber sums. In addition, we generalize our construction of genu...
Citation Formats
E. Solak, “Classication of special classes of almostcompletely decomposable groups of nite rank,” 2016, Accessed: 00, 2021. [Online]. Available: