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School of Computer Science

Tel-Aviv Academic College

Prof. Gil Kaplan

Prof. Gil Kaplan

view: formal, yearly, linear.

Journal/Collection Publications

47 H. Meng, A. Ballester-Bolinches and G. Kaplan. Union of products of subgroups in finite groups, Submitted.
46 A. Ballester-Bolinches, G. Kaplan and V. Perez-Calabuig. On products of subgroups of finite groups, Mediterranean Journal of Mathematics, number 20, article 11, 2023.
45 H. Meng, A. Ballester-Bolinches and G. Kaplan. A note on maximal subgroups and conjugacy classes of finite groups, Quaestiones Mathematicae, volume 45, number 5, pages 689-694, 2022.
44 M. Herzog, G. Kaplan, A. Lev and R. Zigdon. $r$-critical numbers of natural intervals, Electronic Journal of Combinatorics, volume 28, number 4, 2021.
43 G. Kaplan. A note on Frobenius-Wielandt groups, Journal of Group Theory, volume 22, pages 637–645, March 8, 2019.
42 B. Baumeister and G. Kaplan. Critical maximal subgroups and conjugacy of supplements in finite soluble groups, Journal of Group Theory, volume 21, pages 45–63, October 18, 2018.
41 G. Kaplan, A. Lev, A. Mann and R. Salomon. Adequate field extensions and Frattini closed groups, Communications in Algebra, volume 45, pages 4622–4630, April 12, 2017.
40 B. Baumeister, G. Kaplan and D. Levy. Covering a finite group by the conjugates of a coset, Journal of Algebra, volume 448, pages 84–103, February 15, 2016.
39 G. Kaplan and G. Vincenzi. On the Wielandt subgroup of generalized FC-groups, International Journal of Algebra and Computation, volume 24, pages 1031–1042, 2014.
38 H. Heineken, W. Herfort and G. Kaplan. Nilpotency, solvability and the twisting function of finite groups II, Archiv der Mathematik, volume 102, number 6, pages 501–512, June 26, 2014.
37 M. Herzog, G. Kaplan and A. Lev. Critical numbers of natural intervals, Journal of Number Theory, volume 138, pages 69–83, May 2014.
36 M. Herzog, G. Kaplan, P. Longobardi and M. Maj. Products of subsets of groups by their inverses, Beitraege zur Algebra und Geometrie, volume 55, pages 311–346, March 26, 2013.
35 B. Baumeister and G. Kaplan. c-Sections, solvability and large subgroups of finite groups, Bulletin of the Australian Mathematical Society, volume 86, number 2, pages 291–302, April 3, 2012.
34 G. Kaplan. Nilpotency, solvability and the twisting function of finite groups, Communications in Algebra, volume 39, number 5, pages 1722–1729, June 21, 2011.
33 G. Kaplan. On finite T-groups and the Wielandt subgroup, Journal of Group Theory, volume 14, pages 855–863, February 10, 2011.
32 G. Kaplan. On T-groups, supersolvable groups and maximal subgroups, Archiv der Mathematik, volume 96, pages 19–25, December 3, 2010.
31 G. Kaplan and D. Levy. Solvability of finite groups via conditions on products of 2-elements and odd p-elements, Bulletin of the Australian Mathematical Society, volume 82, number 2, pages 265–273, April 26, 2010.
30 G. Kaplan, A. Lev and Y. Roditty. On graph labeling problems and regular decompositions of complete graphs, Ars Combinatoria, volume 92, pages 225–243, July 2009.
29 G. Kaplan and D. Levy. Solitary subgroups, Communications in Algebra, volume 37, number 6, pages 1873–1883, June 6, 2009.
28 G. Kaplan, A. Lev and Y. Roditty. On zero-sum partitions and anti-magic trees, Discrete Mathematics, volume 309, pages 2010–2014, April 28, 2009.
27 G. Kaplan and D. Levy. Multiplicities in Sylow sequences and the solvable radical, Bulletin of the Australian Mathematical Society, volume 78, number 3, pages 477–486, December 1, 2008.
26 M. Herzog, G. Kaplan and A. Lev. Covering the alternating groups by products of cycle classes, Journal of Combinatorial Theorey Ser. A, volume 115, number 7, pages 1235–1245, October 2008.
25 G. Kaplan and D. Levy. Schreier conditions on chief factors and residuals of solvable like group formations, Bulletin of the Australian Mathematical Society, volume 78, number 1, pages 97–106, August 2008.
24 M. Herzog, G. Kaplan and A. Lev. The size of the commutator subgroup of finite groups, Journal of Algebra, volume 320, number 3, pages 980–986, August 1, 2008.
23 G. Kaplan and D. Levy. Sylow products and the solvable residual, Communications in Algebra, volume 36, number 3, pages 851–857, June 18, 2008.
22 G. Kaplan, A. Lev and Y. Roditty. Bertrand's postulate, the prime number theorem and product anti-magic graphs, Discrete Mathematics, volume 308, number 5-6, pages 787–794, March 28, 2008.
21 S. Dolfi, M. Herzog, G. Kaplan and A. Lev. The size of the solvable residual in finite groups, Groups, Geometry and Dynamics, volume 1, pages 401–407, December 31, 2007.
20 S. Dolfi, M. Herzog, G. Kaplan and A. Lev. On the size of the nilpotent residual in finite groups, Journal of Group Theory, volume 10, pages 299–305, June 18, 2007.
19 G. Kaplan and D. Levy. Products of subgroups which are subgroups, Communications in Algebra, volume 35, number 5, pages 1517–1523, May 7, 2007.
18 G. Kaplan and D. Levy. Uniquely factorizable elements and solvability of finite groups, Archiv der Mathematik, volume 86, pages 490–498, June 2006.
17 M. Herzog and G. Kaplan. Large cyclic subgroups contain non-trivial normal subgroups, Journal of Group Theory, volume 4, pages 247–253, January 23, 2006.
16 G. Kaplan and D. Levy. The solvable radical of Sylow factorizable groups, Archiv der Mathematik, volume 85, pages 490–496, December 2005.
15 G. Kaplan and D. Levy. Sylow products and the solvable radical, Archiv der Mathematik, volume 85, pages 304–312, October 2005.
14 G. Kaplan and A. Lev. The existence of large commutator subgroups in factors and subgroups of non-nilpotent groups, Archiv der Mathematik, volume 85, pages 197–202, September 2005.
13 N. Alon, G. Kaplan, A. Lev, Y. Roditty and R. Yuster. Dense graphs are antimagic, Journal of Graph Theory, volume 47, number 4, pages 297–309, October 5, 2004.
12 M. Herzog, G. Kaplan and A. Lev. On the commutator and the center of finite groups, Journal of Algebra, volume 278, number 2, pages 494–501, August 15, 2004.
11 M. Herzog, G. Kaplan and A. Lev. Representation of permutations as products of two cycles, Discrete Mathematics, volume 285, number 1-3, pages 323–327, August 6, 2004.
10 G. Kaplan and D. Levy. GCD of truncated rows in Pascal triangle, Integers, The Electronic Journal of Combinatorial Number Theory, volume 4, January 2004.
9 G. Kaplan and A. Lev. On the dimension and basis concepts in finite groups, Communications in Algebra, volume 31, number 6, pages 2707–2717, 2003.
8 M. Herzog, G. Kaplan and A. Lucchini. On subgroups containing non-trivial normal subgroups, Israel Journal of Mathematics, volume 137, pages 183–188, December 2003.
7 G. Kaplan and A. Lev. Covering numbers for non-perfect finite groups, Communications in Algebra, volume 30, number 11, pages 5253–5271, 2002.
6 G. Kaplan, A. Lev and Y. Roditty. Transitive large sets of disjoint decompositions and group sequencings, Discrete Mathematics, volume 254, number 1-3, pages 207–219, June 10, 2002.
5 G. Kaplan and A. Lev. Transversals in permutation groups and factorizations of complete graphs, Bulletin of the Australian Mathematical Society, volume 65, number 2, pages 277– 288, April 2002.
4 G. Kaplan, A. Lev and Y. Roditty. Gracefullness, group sequencings and graph factorizations, in C. M. Campbell, E. F. Robertson and G. C. Smith (eds.), Groups St Andrews 2001 in Oxford: Volume 2, Lecture Note Series, pages 295-305, 2001, (survey article).
3 G. Kaplan, A. Lev and Y. Roditty. Regular Oberwolfach problems and group sequencings, Journal of Combinatorial Theory, Ser. A, volume 96, number 1, pages 1–19, October 2001.
2 G. Kaplan. Irreducible disconnected systems in groups, Israel Journal of Mathematics, volume 111, pages 203–219, December 1999.
1 G. Kaplan. On groups admitting a disconnected common divisor graph, Journal of Algebra, volume 193, pages 616–628, July 15, 1997.

Conference Proceedings

3 M. Herzog, G. Kaplan and A. Lev. On the size of the commutator subgroup in finite groups (survey article), in C. M. Campbell, M. R. Quick, E. F. Robertson and G. C. Smith (eds.), Groups St. Andrews 2005, Lecture Note Series, London Mathematical Society Lecture Note Series, volume 2, pages 486–490, January 4, 2007.
2 G. Kaplan and D. Levy. Products of Sylow Subgroups and the Solvable Radical, in C. M. Campbell, M. R. Quick, E. F. Robertson and G. C. Smith (eds.), Groups St. Andrews 2005, London Mathematical Society Lecture Note Series, volume 2, pages 527–530, January 4, 2007.
1 G. Kaplan. The existence of normal and characteristic subgroups in finite groups, in Zvi Arad, Mariagrazia Bianchi, Wolfgang Herfort, Patrizia Longobardi, Mercede Maj and Carlo Scoppola (eds.), Ischia Group Theory 2004 (Proceedings of a conference in honor of Marcel Herzog), Contemporary Mathematics 402, pages 197–200, 2004, (survey article).
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