Bibliography
1. Abramovskii, I.N. [1996] Locally generalized Hamiltonian Groups, Siberian Math. Journal, 7, 391-393. 2. Abbaspour Hassan Mohammad and Behravesh Houshang [2009] A Note on Quasi-Permutation Representation of Finite Groups, Int. J. Contemp. Math. Sciences, Vol. 4, 2009, No. 27, 1315-1320. 3. Adam Alejandro [1995] Discrete Groups, Grothendieck Rings and Families of Finite Subgroups, Contemporary Mathematics Vol. 00, 01-24. 4. Albrecht Ulrich [2010] A-Generated Subgroups of A-Solvable, International Journal of Algebra, Vol 4. No. 13, 625-630. 5. Alexandru Nica [1994] On a Groupoid Construction for Actions of Certain Inverse Semigroups, International Journal of Mathematics 5, 349-372. 6. Artin, M. [2000] Algebra, Prentice Hall of India. 7. Azimi, N. and Amirabadi M. [2014] Non-nilpotent Subgroups in Locally Graded Groups, Mathematics and Statistics, 2(7), 238-239. 8. Bruno, B and Phillips, R. E. [1981]
Groups with restricted non-normal
subgroups, Mathematische Zeitschrift, springer, Vol. 176, issue 2 , 199-221. 9. Baer, R. [1933] Situation der untergruppen and struktur der Gruppe, S.B. Heidelberg Akad Mat. Nat. Klasse 2, 12-17. 10. Baer, R. [1949] Klassifikation der Gruppenerweiterungen, J. Renr Angew. Math. 187, 75-94.
80
11. Casacuberta,
C.
[2000]
On
structures
preserved
by
idempotent
transformations of groups and homotopy types, Contemporary Mathematics Vol.202 12. Cernikov, S.N. [1971] Infinite Non abelian groups in which all infinte nonabelian subgroups are invariant, Ukrain. Mat .Z. 23, 498-518. 13. Curtis, M.L [1984] Matrix Groups, Springer-Verlag. 14. Dedekind, R. [1897]
ber Gruppen, deren sämthliche Teiler Normalteiler
sind. Mathematische Annalen 48(4), 548-561. 15. Dixon, J.D. [1969] Probability of Generating the Symmetric Group, Math.Z. 110, 199-205. 16. Donald A. and Eckmann B. [1980] Algebra Carbondale, Lecture Notes in Mathematics, 848. 17. Dugundji, J. [1975] Topology, Prentice Hall of India, New Delhi. 18. Eilenberg, S. and Maclane, S. [1942] Group Extensions and Homology, Ann. of Math. (2) 43, 757-831. 19. Eilenberg, S. and Maclane, S. [1947]
Cohomology Theory in Abstract
Groups I, Ann. of Math. (2) 48, 51-78 20. Eilenberg, S. and Maclane, S. [1947]
Cohomology Theory in Abstract
Groups II (Group Extensions with a non-abelian kernel), Ann. of Math. (2) 48, 326-341. 21. Feldman J. And Greenleaf F. P. [1968] Existence Of Borel Transversals In Groups, Pacific Journal of mathematics, Vol. 25, Number 3, 455-461. 22. Feng A. and Liu Z. [2014] Finite Groups with Nine Non-subnormal Subgroups, International Journal of Algebra, Vol. 8, Number 5, 223-228. 81
23. Foguel T. [2000] Groups, Transversals and Loops, Comment Math. Univ. Carolinae, 41, 2, 261-269. 24. Foguel T. and Ungar A.A. [2000] Involutory decomposition of groups into twisted subgroups and subgroups, J.Group Theory, 3(1), 27-46. 25. Garascuk, M. S. [1975] Metahamiltonian linear groups, Vestnik Beloruss. Gos. Univ. Ser.1, 2, No.103 , 89-40. 26. Golfond, Yu. A. [1948] On groups all of whose subgroups are special, Dokl. Akad. Nauk. SSSR 60, 1313-1315. 27. Gorenstein, D. [1982]
Finite Simple Groups, An Introduction to their
Classification, Plemum Press, New York. 28. Harthshorne, R. [1983] Algebraic Geometry, Springer Verlag, New York. 29. Helgason, S. [2001] Differential geometry, Lie groups and Symmetric spaces, Grad. Stud. Maths (A.M.S), Vol. 34. 30. James, M. [2011]
Solvability and Nilpotency of Groups through Right
Transversals, Ph.D Thesis, SHIATS, Allahabad 31. Johnson, K.W. [1980] Transversals, S-rings and Centraliser rings of Groups, LNM, 848. 32. Kiechle, H. [2002] Theory of K-loops, Lecture Notes, A.M.S, 1778. 33. Kurdachenko, L., Olal, J. and Subbotin [2002] Groups with prescribed Quotient Groups and associated Module Theory, Series in Algebra Vol 8, World Scientific. 34. Kunj, H. and Ray, K. [2000] Linear Algebra, Prentice Hall of India. 35. Kuznetsov E. A. [1999] Transversals in groups. 2. Loos transversals in a group by the same subgroup, Quasigroups and Related Systems, 6, 1-11. 82
36. Kuznetsov E. A. [2002] Transversals in groups. 4. Derivation Construction, Quasigroups and Related Systems, 9, 67-84. 37. Lal, R. [1996] Transversals in Groups, Journal of Algebra, 181, 70-81. 38. Lal, R. [1996] Some Problems on Dedekind type Groups, Journal of Algebra, 181, 223-234. 39. Lal, R. and
Shukla, R. P. [1996] Perfectly Stable Subgroups of Finite
Groups, Com. Alg. 24 (2), 643-657. 40. Lal, R. and Shukla, R. P. [2005] Transversals in Non-discrete groups, Proc. Ind. Acad. Sc. Vol. 115 No.4, 429-435. 41. Lal, R.and Shukla, R. P. [2005] A Characterization of Tarski Monsters, Indian J. Pure & Appl. Math. 36(12), 673-678. 42. Lal, R. [2000], Algebra, Vol I, Shail Publications. 43. Lal, R. [2000], Algebra, Vol II, Shail Publications. 44. Lang, S. [2006] Algebra, Rev. Third Edition, Second Indian Reprint. 45. Libman, A. [2000] Cardinality and Nilpotency of Localizations of Groups and G-modules, Israel J. Math, 117, 221-237. 46. Libman, A. [2000] A note on the localization of finite groups, Journal of Pure and Applied Algebra 148, 271-274. 47. Liebeck, M.W., Prager, C.E. and Saxl, J. [1990] The maximal factorisation of simple groups and their automorphism groups, Mem. Amer. Math. Soc. Vol 86, No. 432. 48. Maclane, S. [1963] Homology Theory, Springer- Verlag , Berlin. 49. Mackey, G. W. [1952] Induced representation of locally compact groups I, Ann. of Math. 55 (1952), 101-139. 83
50. Mackey, G. W. [1957] Les ensembles Boreliens et les extensions des groupes, Journal de Math. 36, 171-178. 51. Mackey, G. W. [1958] Unitary representations of group extensions, Acta Math. 99, 265-311. 52. Magnus, W., Karrass, A. and Solitar, D. [1966] Combinatorial Group Theory, John Wiley New-York. 53. Mahnev, A. A. [1976] Finite Meta-hamiltonian groups, Ural Gos. Univ. Mat. Zap.10 1, No.151, 60-75. 54. Miller, G. A. and Moreno, H. C. [1903] Non-abelian groups in which every subgroup is abelian, Transactions of the American Mathematical Society 4, 398-404. 55. Munkres, J.R. [1975] Topology, A First Course, Prentice Hall. 56. Mitchell, B. [1965] Theory of categories, Academic Press. 57. Nagrebeckii, V. T. [1966] Invariant coverings of subgroups, Ural Gos. Univ. Mat. Zap.5, 91-100. 58. Nagrebeckii, V. T. [1967] Finite non-nilpotent groups, any non-abelian subgroups of which are normal, Ural Gos. Univ. Mat. Zap.6, 80-88. 59. Nagrebeckii, V. T. [1968]
Finite groups in which any non-nilpotent
subgroups is invariant, Ural Gos. Univ. Mat. Zap.j, 45-43. 60. Newmann, M.F. [1960] On a Class of Metabelian Groups, Proc. London Math. Society (3), 10. 61. Newmann, M.F. [1960] On a Class of Nilpotent Groups, Proc. London Math. Society (3), 10.
84
62. Ol’shanskii, A.Yu. [1991] Geometry of defining relations in groups, Kluwer Academy Publication 63. O’Brien E.A. and Vaughan-Lee M.R. [2005] The groups with order p7 for odd prime p, Journal of Algebra 292, 243-258. 64. Phillips, R.E. and Wilson, J. S. [1978] on certain minimal condition for infinite groups, J. Algebra 51, 41-68. 65. Ramadan M. and Hijaji R.A. [2012] Finite Groups whose Generalized Hypercenter Contains Certain Subgroups of Prime Power Order, Int. J. of Algebra, Vol 6, No. 19, 927-936 66. Robinson, D.J.S. [1982] A course in the theory of groups, Springer- Verlag, New York. 67. Robinson,D.J.S. [1970] A Theorem on Finitely Generated Hyper-abelian Groups, Invent. Math. 10, 38-43. 68. Robinson,D.J.S. [1968]
Residual Properties of Some Classes of Infinite
Solvable Groups, Proc.London Math. Society 18(3), 495-520. 69. Romalis, G. M. and Sesekin, N. F. [1966] Metahamiltonian groups, Ural Gos. Univ. Mat. Zap.5, 3, 101-106. 70. Romalis, G. M. and Sesekin, N. F. [1968] Metahamiltonian groups II, Ural Gos. Univ. Mat. Zap.6, 3, 52-58. 71. Romalis, G. M. and Sesekin, N. F. [1969-1970] Metahamiltonian groups III, Ural Gos. Univ. Mat. Zap.7, 3, 195-199. 72. Roseblade, J. E. [1965] On groups in which every subgroup is subnormal, J. Algebra 2, 402-412.
85
73. Schmdit, O. J. [1924] On groups every proper subgroup of which is special, Mat.Sb. (N.S.) 31, 366-372. 74. Schreier, O. [1926] Uber die von Erweiterung Gruppen, I , Monatsh, Math. Phys., 165-180 75. Schreier, O. [1926] Uber die Erweiterung Von gruppen, II, Abh. Math. Sem. Univ. Hamburg 6 , 321-346 76. Sehgal A. and Kumar Y. [2013] On Number of Subgroups of Finite Abelian Group
, Int. J. of Algebra, Vol 7, No. 19, 915-923.
77. Shukla, R.P. [1993] Transversals in Groups, D.Phil thesis, University of Allahabad. 78. Shukla, R.P. [1995] Congruences in Right Quasigroups and General Extensions, Comm. Alg. 23(7), 2679-2695. 79. Sharpe, R.W. [1996] Differential geometry, Springer-Verlag. 80. Sharma B.K. and Lal R. [2009] On Dedekind-type Groups, International Journal of Algebra, HIKARI, Vol 3, 2009, No. 17, 799-813. 81. Spanier, E.H. [1966] Algebraic Topology, McGraw Hill Book Company 82. Srivastava, S. and Mathur, N. [2010] Some problems on T-group through right transversals, International Transactions in Mathematical Sciences and Computers,Vol.3, No.2, 281-285. 83. Srivastava, S. and Kumar, P. [2014] On the p-maps of Groups, Mathematics and Statistics, HRPUB, USA, 2(6), 214-218 84. Srivastava, S. and Kumar, P. [2014] H-transversals in H-groups, International Journal of Algebra, Hikari, Vol 8, No. 15, 705-712
86
85. Srivastava, S. and Kumar, P. [2014] Extension of Groups using p-tilda maps, Communications in Algebra, (Communicated) 86. Srivastava, S., Paul, A. and Kumar, P. [2014] On the H-group, International Research Journal of Pure Algebra Vol 4(12), 2014, 648-652. 87. Suzuki, M. [1982] Group theory I, Springer-Verlag, New York 88. Suzuki, M. [1986] Group theory II, Springer-Verlag, New York 89. Thompson, J.G. [1968]
Nonsolvable Finite Groups all of whose local
Subgroups are Solvable, Bull. Amer. Math. Soc. 74, 383-437. 90. Tripathi A.M., Mathur, N. and Srivastava, S. [2009] A study of Nilpotent Groups through Right Transversals, Iranian Journal of Mathematical Sciences and Informatics, Vol. 4, No. 2, 49-54. 91. Ungar, A.A. [1991]
Thomas precession and its associated group like
structures, Ams. J. Phys. 59, 824-834. 92. Wang L. and Wang Y. [2012] A Note on Products of Finite Groups, Int. J. of Algebra, Vol. 6, No. 15, 721-726. 93. Wedderburn, J.H.M. [1909] On the Direct Product in the Theory of Finite Groups, Annals of Math, 10, 173-176. 94. William Arveson [1992] C*-Algebra and Numerical Linear Algebra, www.arXiv:funct-an/9211002v3 95. Yadav A. C and Lal R. [2010] Smooth right quasigroup structures on 1manifolds, J. Math. Sci. Univ. Tokyo, 17, 313-321. 96. Zassenhauss, H. [1936]
Kennzeichnung endlicher linearer gruppen als
permutations-gruppen, Abh. Math. Sem. Univ. Hamberg, 11, 17-40. 97. Zhang Honggao, Huang Jianhong and Liu Yufeng [2010] The Influence of Minimal Subgroups on the Structure of Finite Groups, Int. J. Contemp. Math. Sciences, Vol 5, 2010, No. 14, 675-683.
87
