Publications

 

  1. Thesis, Finite Groups with Special 2-generator Property, and Order of Centralizers in Finite Groups , Submitted to University of  Illinois  April 31, 92.

 

  1. Galois-Theoretical Groups, Journal of Algebra, 150 , no. 2 (92), 321-323.

 

  1. Addendum to Galois-Theoretical Groups, Journal of Algebra, 157, no. 2 (93), 574.

 

  1. The Proportion of Fixed-Point-Free Elements of a Transitive Permutation Group, Communications in Algebra, 21 (9), (93), 3259-3275. (joint work with N. Boston, W. Dabrowski, P.J. Gies, D.A. Jackson, J. Leavitt, and D.T. Ose)

 

  1. On Seminormal Subgroups , Journal of Algebra, 165, no. 3 (94), 633-636.

 

  1. Finite Groups with a Special 2-Generator Property, Pacific Journal of Mathematics, 170, no. 2 (95), 483-496.

 

  1. Simple Groups Containing Subgroups with some Normality Condition, Proceedings of the First Jamaican Conference on Group Theory and its Applications, (96), 59-63.

 

  1. On normal-composition series with simple nonabelian factors, Caribbean J. Math. Comput. Sci. 6 (1996), no. 1-2, 19-22.

 

  1. Conjugate - Permutable Subgroups, Journal of Algebra,191, (97), 235-239.

 

  1. Groups with all Cyclic subgroups Conjugate - Permutable, Journal of Group Theory, 2, no.1, (99), 47-52.

 

  1. The Involutory Decomposition of Groups into Twisted Subgroups and Subgroups, (joint work with Abraham A. Ungar), Journal of Group Theory, 3, no.1, (00), 27-46.

 

  1. Groups, Transversals, and Loops, Comment. Math. Univ. Carolinae. 41, no. 2, (00), 261-269.

 

  1. Gyrogroups and the Decomposition of Groups into  Twisted Subgroups and Subgroups, (joint work with Abraham A. Ungar), Pacific Journal of Mathematics, 197, no. 1, (01), 1-11.
  1. Polar Decomposition of Locally Finite Groups, Results in Mathematics 42 (02), 69-73.
  1. Simple Power Associative Loops with Exactly One Covering, Results in Mathematics 45 (04), 241-245.

   16.      Associative transitive loops, Algebra Colloquium 12, no. 3 (05), 535-540.

  1. A generalization of Supersolvability,  Glasgow Mathematical Journal 47 (05), 249-253.
  1. Almost Hamiltonian groups,  (joint work with Pantelimon Stanica),  Results in Mathematics 48 (2005) 44-49.
  1. Amalgam of a loop over an idempotent quasigroup, Quasigroups and Related Systems 13, no. 1 (2005) 99-104.
  1. On twisted subgroups and Bol loops of odd order,  (joint work with Michael K. Kinyon and J.D. Phillips),  Rocky Mountain Journal of Mathematics 36, no.1 (2006) 183-212.
  1. Direct product of quasigroups and gd-subquasigroups,  Quasigroups and Related Systems 16,  no. 1  (2008) 31-36.
  1.  Fun with Cryptography: A Fun Workshop for Sonia Kovalevsky High School Mathematics Day, (joint work with Joan Nunnelley Powell), Geometry, Games, Graphs and Education: the Joe Malkevitch Festschrift, Comap (2008) 165-172.
  1. Groups with a finite covering by isomorphic abelian subgroups, (joint work with Matthew Ragland ), Contemporary Mathematics: Computational Group Theory and the Theory of Groups 470, (2008) 75-88.

   25. Uniquely 2-divisible Bol loops,  (joint work with Michael K. Kinyon), Journal of Algebra and Its Applications 9,  no. 4  (2010) 591-601.

  1. Solitary solvable groups, (joint work with Risto Atanasov),  Communications in Algebra 40, no. 6 (2012) 2130-2139.

   27.    Optimizing Capstone With Multiple Constraints (joint work with  Risto Atanasov and Jeff Lawson),  PRIMUS 24, no.4 (2013) 392-402.

   28.     Equal Quasi-Partition of p-groups (joint work with  Risto Atanasov and Andrew Penland) Results in Mathematics 64, no.1 (2013), 185-191.

   29.     Loops That Are Partitioned by Groups  (joint work with  Risto Atanasov)  Journal of Group Theory 17, no. 5 (2014), 851–861.

   30.      On Π-property and Π-normality of subgroups of finite groups (II) (joint work with Baojun Li), Algebra and Logic 54, No. 3 (2015), 211–225.

   31.     A Note On Subloop Lattices (joint work with Joshua Hiller),  Results in Mathematics 69, no. 1 (2016), 11-21.

   32.     Partition Numbers of Finite Solvable Groups (joint work with Nicholas Sizemore),   Advances in Group Theory and Applications 6, (2018), 55-67 .

   33.      On Bruck's Prolongation and Contraction Maps (joint work with Joshua Hiller),   Quasigroups and Related Systems 27, (2019) 53-62.

   34.       A note on Abelian Partitionable groups (joint work with Joshua Hiller),  Communications in Algebra 48, no.8(2020), 3268-3274.

   35.     Groups that have a Partition by Commuting Subsets (joint work with Joshua Hiller, M. L. Lewis and A. R. Moghaddamfar), Journal of Group Theory 24, 549-571 .

36. Groups with semi-partitions (joint work Ali Mahmoudifar, A. R. Moghaddamfar and Jack Schmidt), Journal of Algebra and Its Applications to appear 2023

available online via open access at

https://www.worldscientific.com/doi/epdf/10.1142/S0219498823501694.

 

 

 

 

Tuval Foguel tfoguel@adelphi.edu

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