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בית הספר למדעי המחשב

המכללה האקדמית תל-אביב

פרופ' גיל קפלן

פרופ' גיל קפלן

הצגה: רשמי, שנתי, לינארי.

פרסומים בעתונות מדעית

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, מספר 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, כרך 45, מספר 5, עמודים 689-694, 2022.
44 M. Herzog, G. Kaplan, A. Lev and R. Zigdon. $r$-critical numbers of natural intervals, Electronic Journal of Combinatorics, כרך 28, מספר 4, 2021.
43 G. Kaplan. A note on Frobenius-Wielandt groups, Journal of Group Theory, כרך 22, עמודים 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, כרך 21, עמודים 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, כרך 45, עמודים 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, כרך 448, עמודים 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, כרך 24, עמודים 1031–1042, 2014.
38 H. Heineken, W. Herfort and G. Kaplan. Nilpotency, solvability and the twisting function of finite groups II, Archiv der Mathematik, כרך 102, מספר 6, עמודים 501–512, June 26, 2014.
37 M. Herzog, G. Kaplan and A. Lev. Critical numbers of natural intervals, Journal of Number Theory, כרך 138, עמודים 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, כרך 55, עמודים 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, כרך 86, מספר 2, עמודים 291–302, April 3, 2012.
34 G. Kaplan. Nilpotency, solvability and the twisting function of finite groups, Communications in Algebra, כרך 39, מספר 5, עמודים 1722–1729, June 21, 2011.
33 G. Kaplan. On finite T-groups and the Wielandt subgroup, Journal of Group Theory, כרך 14, עמודים 855–863, February 10, 2011.
32 G. Kaplan. On T-groups, supersolvable groups and maximal subgroups, Archiv der Mathematik, כרך 96, עמודים 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, כרך 82, מספר 2, עמודים 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, כרך 92, עמודים 225–243, July 2009.
29 G. Kaplan and D. Levy. Solitary subgroups, Communications in Algebra, כרך 37, מספר 6, עמודים 1873–1883, June 6, 2009.
28 G. Kaplan, A. Lev and Y. Roditty. On zero-sum partitions and anti-magic trees, Discrete Mathematics, כרך 309, עמודים 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, כרך 78, מספר 3, עמודים 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, כרך 115, מספר 7, עמודים 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, כרך 78, מספר 1, עמודים 97–106, August 2008.
24 M. Herzog, G. Kaplan and A. Lev. The size of the commutator subgroup of finite groups, Journal of Algebra, כרך 320, מספר 3, עמודים 980–986, August 1, 2008.
23 G. Kaplan and D. Levy. Sylow products and the solvable residual, Communications in Algebra, כרך 36, מספר 3, עמודים 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, כרך 308, מספר 5-6, עמודים 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, כרך 1, עמודים 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, כרך 10, עמודים 299–305, June 18, 2007.
19 G. Kaplan and D. Levy. Products of subgroups which are subgroups, Communications in Algebra, כרך 35, מספר 5, עמודים 1517–1523, May 7, 2007.
18 G. Kaplan and D. Levy. Uniquely factorizable elements and solvability of finite groups, Archiv der Mathematik, כרך 86, עמודים 490–498, June 2006.
17 M. Herzog and G. Kaplan. Large cyclic subgroups contain non-trivial normal subgroups, Journal of Group Theory, כרך 4, עמודים 247–253, January 23, 2006.
16 G. Kaplan and D. Levy. The solvable radical of Sylow factorizable groups, Archiv der Mathematik, כרך 85, עמודים 490–496, December 2005.
15 G. Kaplan and D. Levy. Sylow products and the solvable radical, Archiv der Mathematik, כרך 85, עמודים 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, כרך 85, עמודים 197–202, September 2005.
13 N. Alon, G. Kaplan, A. Lev, Y. Roditty and R. Yuster. Dense graphs are antimagic, Journal of Graph Theory, כרך 47, מספר 4, עמודים 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, כרך 278, מספר 2, עמודים 494–501, August 15, 2004.
11 M. Herzog, G. Kaplan and A. Lev. Representation of permutations as products of two cycles, Discrete Mathematics, כרך 285, מספר 1-3, עמודים 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, כרך 4, January 2004.
9 G. Kaplan and A. Lev. On the dimension and basis concepts in finite groups, Communications in Algebra, כרך 31, מספר 6, עמודים 2707–2717, 2003.
8 M. Herzog, G. Kaplan and A. Lucchini. On subgroups containing non-trivial normal subgroups, Israel Journal of Mathematics, כרך 137, עמודים 183–188, December 2003.
7 G. Kaplan and A. Lev. Covering numbers for non-perfect finite groups, Communications in Algebra, כרך 30, מספר 11, עמודים 5253–5271, 2002.
6 G. Kaplan, A. Lev and Y. Roditty. Transitive large sets of disjoint decompositions and group sequencings, Discrete Mathematics, כרך 254, מספר 1-3, עמודים 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, כרך 65, מספר 2, עמודים 277– 288, April 2002.
4 G. Kaplan, A. Lev and Y. Roditty. Gracefullness, group sequencings and graph factorizations, באוסף C. M. Campbell, E. F. Robertson and G. C. Smith (עורכים), Groups St Andrews 2001 in Oxford: Volume 2, Lecture Note Series, עמודים 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, כרך 96, מספר 1, עמודים 1–19, October 2001.
2 G. Kaplan. Irreducible disconnected systems in groups, Israel Journal of Mathematics, כרך 111, עמודים 203–219, December 1999.
1 G. Kaplan. On groups admitting a disconnected common divisor graph, Journal of Algebra, כרך 193, עמודים 616–628, July 15, 1997.

מאמרים בכנסים

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