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School of Computer Science

Tel-Aviv Academic College

Prof. Arieh Lev

Prof. Arieh Lev

view: formal, yearly, linear.

Journal Publications

44 Zigdon R. and Lev A.. הערות על התאמת הלימודים בהשכלה הגבוהה לסטודנט, Katharsis, volume 29, 2019.
43 A. Lev I. Gaber and R. Zigdon. Insights and Observations on Teaching the Intermediate Value Theorem, American Mathematical Monthly, volume 126, number 9, pages 845-849, April 24, 2019.
42 Zigdon R. and Lev A.. דרכי התמודדות עם הפער שבין רמה אקדמית נדרשת לבין מיומנויות הסטודנטים, Katharsis, volume 29, pages 5-14, 2018.
41 Lev A.. על יחסי אקדמיה וחינוך, Katharsis, volume 27, pages 103-127, 2017.
40 G. Dror, A. Lev, Y. Roditty and R. Zigdon. On the rainbow connection number of graphs, ARS Combinatoria, volume 133, pages 51–67, 2017.
39 G. Kaplan, A. Lev and A. Mann. Adequate field extensions and Frattini normal subgroups, Comm. Algebra, volume 45, pages 4622–4630, January 3, 2017.
38 Zigdon R. and Lev A.. על הוראת המתמטיקה בבית הספר היסודי ועל הוראה בכלל, Katharsis, volume 26, pages 141–174, 2016.
37 Lev A.. על חינוך, חשיבה, חשיבה מסדר גבוה וחשיבה בהירה, Katharsis, volume 22, pages 48–107, 2015.
36 M. Herzog, G. Kaplan and A. Lev. Critical numbers of natural intervals, J. of Number Theory, volume 138, pages 69–83, May 2014.
35 A. Lev. על הרחבת הנגישות להשכלה הגבוהה וצמצום הפערים בחברה, Katharsis, volume 19, pages 8–17, 2013.
34 G. Kaplan, A. Lev and Y. Roditty. On graph labeling problems and regular decompositions of complete graphs, ARS Combinatoria, volume 92, pages 225–243, 2009.
33 G. Kaplan, A. Lev and Y. Roditty. On zero-sum partitions and anti-magic trees, Discrete Math, volume 309, pages 2010–2014, April 28, 2009.
32 M. Herzog, G. Kaplan and A. Lev. Covering the alternating groups by products of cycle classes, J. Combin. Theory Ser. A, volume 115, pages 1235–1245, October 2008.
31 M. Herzog, G. Kaplan and A. Lev. The size of the commutator subgroup of finite groups, Journal of Algebra, volume 320, pages 980–986, August 1, 2008.
30 Y. Caro, A. Lev, Y. Roditty, Z. Tuza and R. Yuster. On Rainbow connection, The Electronic Journal of Combinatorics, volume 15:R57, April 18, 2008.
29 G. Kaplan, A. Lev and Y. s Roditty. Bertrand' postulate, the prime number theorm and product anti-magic graphs, Discrete Mathematics, volume 308, pages 787–794, March 28, 2008.
28 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.
27 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.
26 M. Herzog and A. Lev. Characters and representations of $p$-groups of class 2, Algebra Colloquium, volume 13, number 1, pages 87–98, 2006.
25 G. Kaplan and A. Lev. On groups satisfying $\lvert G' \rvert > \lvert[G:Z(G)]\rvert^{\small 1/2}$, Beitraege zur Algebra und Geometrie, volume 47, number 1, pages 271–274, 2006.
24 A. Lev. On the covering numbers of finite groups: some old and new results (survey article, following an invited talk in Ischia Group Theory), Contemporary Math, volume 402, pages 201-209, 2006.
23 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.
22 M. Herzog, G. Kaplan and A. Lev. On the commutator and the center of finite groups, J. Algebra, volume 278, pages 494–501, 2004.
21 G. Dror, A. Lev and Y. Roditty. A note: some results in step domination of trees, Discrete Mathematics, volume 289, pages 137–144, December 28, 2004.
20 N. Alon, G. Kaplan, A. Lev, Y. Roditty and R. Yuster. Dense graphs are antimagic, J. Graph Theory, volume 47, number 4, pages 297–309, October 5, 2004.
19 M. Herzog, G. Kaplan and A. Lev. Representation of permutations as products of two cycles, Discrete Math, volume 285, pages 323–327, August 6, 2004.
18 E.A. Bertram, M. Herzog and A. Lev. A correspondence between conjugacy classes and irreducible characters of finite groups, Algebra Colloq, volume 10, pages 205-208, 2003.
17 Y. Caro, A. Lev and Y. Roditty. A note: some results on step domination of a graph, ARS Combin, volume 68, pages 105–114, 2003.
16 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.
15 G. Kaplan, A. Lev and Y. Roditty. Gracefulness, group sequencings and graph factorizations (Survey article), in Groups St. Andrews 2001 in Oxford, Lecture Note Series, pages 295-305, Cambridge University Press, 2003.
14 G. Kaplan and A. Lev. Transversals in permutation groups and factorizations of complet graphse, Bull of the Australian Math. Soc, volume 65, number 2, pages 277–288, 2002.
13 G. Kaplan and A. Lev. Covering numbers for non-perfect finite groups, Communications in Algebra, volume 30, number 11, pages 5251–5269, 2002.
12 I. Krasikov, A. Lev and B. D. Thatte. Upper bounds on the automorphism group of a graph, Discrete Math, volume 256, pages 489–493, 2002.
11 G. Kaplan, A. Lev and Y. Roditty. Transitive large sets of disjoint decompositions and group sequencings, Discrete Math, volume 254, pages 207–219, June 10, 2002.
10 G. Kaplan, A. Lev and Y. Roditty. Regular Oberwolfach problems and group sequencings, J. Combin Theory Ser. A, volume 96, pages 1–19, October 2001.
9 A. Lev and Y. Roditty. Hering decomposition of $\text{DK}_n$ induced by group actions on conjugacy classes, European J. of Combinatorics, volume 21, pages 379–393, March 2000.
8 A. Lev. Covering the group $\text{PSL}_n(F)$ by the square of a conjugacy class, Communications in Algebra, volume 27, number 3, pages 1207–1253, 1999.
7 A. Lev. Powers of 1-cyclic conjugacy classes in the groups $\text{PSL}_n(F)$ and $\text{SL}_n(F)$, Linear Algebra Appl, volume 257, pages 243–281, May 1997.
6 A. Lev. The covering number of the group $\text{PSL}_n(F)$, J. Algebra, volume 182, pages 60–84, May 15, 1996.
5 G. Kozma and A. Lev. On H-bases and H-decompositions of the finite solvable and alternating groups, J. Number Theory, volume 49, pages 385–391, December 1994.
4 A. Lev. Products of cyclic similarity classes in the groups $\text{GL}_n(F)$, Linear Algebra Appl, volume 202, pages 235-266, April 15, 1994.
3 A. Lev. Products of cyclic conjugacy classes in the groups $\text{PSL}(n,F)$, Linear Algebra Appl, volume 179, pages 59–83, January 15, 1993.
2 A. Lev. On large subgroups of finite groups, J. Algebra, volume 152, pages 434–438, November 1992.
1 G. Kozma and A. Lev. Bases and decomposition numbers of finite groups, Arch Math, volume 58, pages 417–424, May 1992.

Conference Proceedings

1 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.

Other

2 C. Benbenishty, G. Kaplan and A. Lev. The Surprise exam-a Paradox of Considering and Deciding, 2021.
1 A. Lev and G. Kaplan. Clear thinking vague thinking and paradoxes, arXiv, 2017.
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