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## Hartley, Brian

Compute Distance To:
 Author ID: hartley.brian Published as: Hartley, B.; Hartley, Brian External Links: MGP · Wikidata · GND · MacTutor
 Documents Indexed: 109 Publications since 1965, including 3 Books Reviewing Activity: 77 Reviews Biographic References: 2 Publications
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#### Co-Authors

 57 single-authored 3 Bryant, Roger M. 3 Tomkinson, M. J. 3 Zalesski, Alexandre Efimovich 2 Dicks, Warren 2 Hawkes, Trevor O. 2 Kuzucuoğlu, Mahmut 2 Meixner, Thomas 2 Shahabi Shojaei, M. A. 2 Stöhr, Ralph 1 Bell, S. D. 1 Belyaev, Vissarion V. 1 Berrick, A. Jon 1 Bier, Tomas 1 Bonvallet, K. 1 Borovik, Alexandre Vasilievich 1 Bryce, Robert Aitken 1 Burns, John M. 1 Cedó, Ferran 1 Cheng, Kangning 1 Cliff, Gerald H. 1 Fischer, Bernd 1 Gardiner, Anthony D. 1 Gaschütz, Wolfgang 1 Gilchrist, Andrew J. 1 Goldsmith, Brendan 1 Graddon, C. J. 1 Hall, Jonathan I. 1 Hall, Philip 1 Isaacs, I. Martin 1 Kamal, E. M. 1 Kuz’min, Yu. V. 1 Lennox, John C. 1 Lichtman, Alexander I. 1 Makarfi, U. M. 1 McDougall, David 1 Menal, Pere 1 Otal, Javier 1 Parker, James R. 1 Passman, Donald Steven 1 Peña, Juan Manuel 1 Peng, Tsu Ann 1 Pickel, P. F. 1 Rae, Andrew 1 Rhemtulla, Akbar Hussein 1 Richardson, J. S. 1 Robinson, Derek J. S. 1 Sandling, Robert 1 Seitz, Gary M. 1 Shute, G. 1 Smith, Martha K. 1 Stonehewer, Stewart Edward 1 Turau, Volker 1 Turull, Alexandre
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#### Serials

 10 Journal of Algebra 10 Proceedings of the London Mathematical Society. Third Series 8 Journal of the London Mathematical Society. Second Series 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Archiv der Mathematik 5 Journal of Pure and Applied Algebra 5 The Quarterly Journal of Mathematics. Oxford Second Series 5 Proceedings of the Cambridge Philosophical Society 3 Bulletin of the Australian Mathematical Society 3 Compositio Mathematica 3 Mathematische Zeitschrift 3 Journal of the Australian Mathematical Society. Series A 2 Communications in Algebra 2 Rocky Mountain Journal of Mathematics 2 Algebra and Logic 2 Algebra i Logika 2 Bulletin of the London Mathematical Society 2 Canadian Journal of Mathematics 2 Proceedings of the American Mathematical Society 1 Israel Journal of Mathematics 1 Glasgow Mathematical Journal 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology and its Applications 1 Publicacions Matemàtiques 1 Journal of the Australian Mathematical Society 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Mathematical Medley
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#### Fields

 99 Group theory and generalizations (20-XX) 23 Associative rings and algebras (16-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Algebraic topology (55-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

98 Publications have been cited 986 times in 717 Documents Cited by Year
Injektoren endlicher auflösbarer Gruppen. Zbl 0183.02902
Fischer, B.; Gaschütz, W.; Hartley, B.
1967
On Fischer’s dualization of formation theory. Zbl 0169.34201
Hartley, B.
1969
Monomorphisms and direct limits of finite groups of Lie type. Zbl 0547.20024
Hartley, B.; Shute, G.
1984
Rings, modules and linear algebra. A further course in algebra describing the structure of Abelian groups and canonical forms of matrices through the study of rings and modules. Zbl 0206.01603
Hartley, B.; Hawkes, T. O.
1970
Free subgroups in the unit groups of integral group rings. Zbl 0458.16007
Hartley, B.; Pickel, P. F.
1980
The residual nilpotence of wreath products. Zbl 0194.03402
Hartley, B.
1970
Saturated formations and Sylow structure in locally finite groups. Zbl 0215.10605
Gardiner, A. D.; Hartley, B.; Tomkinson, M. J.
1971
The stability group of a series of subgroups. Zbl 0145.24605
Hall, P.; Hartley, B.
1966
Finite soluble groups containing an element of prime order whose centralizer is small. Zbl 0447.20014
Hartley, B.; Meixner, T.
1981
Periodic groups in which the centralizer of an involution has bounded order. Zbl 0429.20039
Hartley, B.; Meixner, Th.
1980
Locally nilpotent ideals of a Lie algebra. Zbl 0147.28201
Hartley, B.
1967
A general Brauer-Fowler theorem and centralizers in locally finite groups. Zbl 0713.20023
Hartley, Brian
1992
The formation generated by a finite group. Zbl 0191.02201
Bryant, R. M.; Bryce, R. A.; Hartley, B.
1970
Periodic locally soluble groups containing an element of prime order with Cernikov centralizer. Zbl 0495.20011
Hartley, B.
1982
Periodic locally soluble groups with the minimal condition on centralizers. Zbl 0427.20028
Bryant, R. M.; Hartley, B.
1979
Centralizers of finite nilpotent subgroups in locally finite groups. Zbl 0870.20025
Belyaev, V. V.; Hartley, B.
1996
Centralizers of elements in locally finite simple groups. Zbl 0682.20020
Hartley, B.; Kuzucuoğlu, M.
1991
Finite groups of automorphisms of locally soluble groups. Zbl 0406.20032
Hartley, B.
1979
Subgroups of finite index in profinite groups. Zbl 0394.20020
Hartley, Brian
1979
A dual approach to Cernikov modules. Zbl 0365.20047
Hartley, B.
1977
Sylow subgroups of locally finite groups. Zbl 0221.20040
Hartley, B.
1971
On characters of coprime operator groups and the Glauberman character correspondence. Zbl 0797.20007
Hartley, Brian; Turull, Alexandre
1994
Fixed points of automorphisms of certain locally finite groups and Chevalley groups. Zbl 0619.20018
Hartley, B.
1988
Splitting over nilpotent and hypercentral residuals. Zbl 0309.20008
Hartley, B.; Tomkinson, M. J.
1975
Simple locally finite groups. Zbl 0855.20030
Hartley, B.
1995
A note on fixed-point-free actions of finite groups. Zbl 0703.20022
Bell, S. D.; Hartley, B.
1990
Injective modules and soluble groups satisfying the minimal condition for normal subgroups. Zbl 0206.03101
Hartley, B.; McDougall, D.
1971
Homology of higher relation modules and torsion in free central extensions of groups. Zbl 0688.20031
Hartley, B.; Stöhr, R.
1991
Sylow theory in locally finite groups. Zbl 0248.20036
Hartley, B.
1972
On characters and fixed points of coprime operator groups. Zbl 0703.20023
Hartley, B.; Isaacs, I. M.
1990
On the normalizer condition and barely transitive permutation groups. Zbl 0319.20052
Hartley, B.
1975
A theorem of Sylow type for finite groups. Zbl 0213.03402
Hartley, B.
1971
Powers of the augmentation ideal in group rings of infinite nilpotent groups. Zbl 0451.20005
Hartley, B.
1982
Uncountable Artinian modules and uncountable soluble groups satisfying Min-n. Zbl 0356.20030
Hartley, B.
1977
Serial subgroups of locally finite groups. Zbl 0231.20011
Hartley, B.
1972
Finite soluble groups admitting an automorphism of prime power order with few fixed points. Zbl 0629.20007
Hartley, Brian; Turau, Volker
1987
Topics in the theory of nilpotent groups. Zbl 0555.20025
Hartley, B.
1984
Profinite and residually finite groups. Zbl 0377.20023
Hartley, B.
1977
Group rings with simple augmentation ideals. Zbl 0334.16015
Bonvallet, K.; Hartley, B.; Passman, D. S.; Smith, M. K.
1976
Confined subgroups of simple locally finite groups and ideals of their group rings. Zbl 0866.16016
Hartley, B.; Zalesskij, A. E.
1997
On simple periodic linear groups – dense subgroups, permutation representations, and induced modules. Zbl 0805.20037
Hartley, B.; Zalesskij, A. E.
1993
Injective modules over group rings. Zbl 0345.16010
Hartley, B.
1977
Finite p-groups acting on p-soluble groups. Zbl 0273.20015
Hartley, B.; Rae, A.
1973
A note on the normalizer condition. Zbl 0264.20031
Hartley, B.
1973
Non-simplicity of locally finite barely transitive groups. Zbl 0904.20031
Hartley, B.; Kuzucuoǧlu, M.
1997
Finite and locally finite groups. Proceedings of the NATO Advanced Study Institute held in Istanbul, Turkey, 14-27 August 1994. Zbl 0827.00038
Hartley, B. (ed.); Seitz, G. M. (ed.); Borovik, A. V. (ed.); Bryant, R. M. (ed.)
1995
Centralizers in locally finite groups. Zbl 0633.20016
Hartley, B.
1987
Finite groups of matrices over division rings. Zbl 0489.20038
Hartley, B.; Shahabi Shojaei, M. A.
1982
On finite complete groups. Zbl 0415.20013
Hartley, Brian; Robinson, Derek J. S.
1980
Splitting over the locally nilpotent residual for a class of locally finite groups. Zbl 0355.20037
Hartley, B.
1976
Sylow p-subgroups and local p-solubility. Zbl 0246.20022
Hartley, B.
1972
Free groups in normal subgroups of unit groups and arithmetic groups. Zbl 0678.16006
Hartley, B.
1989
Some theorems of Hall-Higman type for small primes. Zbl 0394.20011
Hartley, B.
1980
Subnormality, ascendancy, and the minimal condition on subgroups. Zbl 0342.20018
Hartley, B.; Peng, T. A.
1976
Centralizing properties in simple locally finite groups and large finite classical groups. Zbl 0728.20034
Hartley, Brian
1990
Relative higher relation modules. Zbl 0467.20009
Hartley, B.; Lichtman, A. I.
1981
$${\mathfrak F}$$-abnormal subgroups of certain locally finite groups. Zbl 0221.20039
Hartley, B.
1971
On quasi-permutation representations of finite groups. Zbl 0838.20007
Burns, J. M.; Goldsmith, B.; Hartley, B.; Sandling, R.
1994
The ideal lattices of the complex group rings of finitary special and general linear groups over finite fields. Zbl 0814.16022
Hartley, B.; Zalesskij, A. E.
1994
A note on the homology of free abelianized extensions. Zbl 0756.20007
Hartley, Brian; Stöhr, Ralph
1991
Sjogren’s theorem on dimension subgroups. Zbl 0633.20004
Cliff, G.; Hartley, B.
1987
A note on free presentations and residual nilpotence. Zbl 0538.20010
Hartley, B.
1984
A conjecture of Bachmuth and Mochizuki on automorphisms of soluble groups. Zbl 0356.20029
Hartley, Brian
1976
A class of modules over a locally finite group. I. Zbl 0278.20022
Hartley, B.
1973
Complements, baseless subgroups and Sylow subgroups of infinite wreath products. Zbl 0253.20057
Hartley, B.
1973
Some examples of locally finite groups. Zbl 0238.20045
Hartley, B.
1972
A group theoretical characterization of simple, locally finite, finitary linear groups. Zbl 0791.20039
Hall, J. I.; Hartley, B.
1993
On homomorphisms between special linear groups over division rings. Zbl 0729.20020
Dicks, Warren; Hartley, B.
1991
Locally graded minimal non $$CC$$-groups are $$p$$-groups. Zbl 0778.20016
Hartley, B.; Otal, Javier; Peña, Juan Manuel
1991
On the quotient of a free group by the commutator of two normal subgroups. Zbl 0755.20004
Hartley, B.; Kuz’min, Yu. V.
1991
Actions on lower central factors of free groups. Zbl 0664.20007
Hartley, B.
1989
Relative higher relation modules, and a property of irreducible K- representations of $$GL_ n(K)$$. Zbl 0632.20005
Hartley, B.
1986
Finite quasi-simple groups of 2$$\times 2$$ matrices over a division ring. Zbl 0559.20036
Hartley, B.; Shahabi Shojaei, M. A.
1985
Rings, modules and linear algebra. A further course in algebra describing the structure of Abelian groups and canonical forms of matrices through the study of rings and modules. Reprint. Zbl 0527.20001
Hartley, B.; Hawkes, T. O.
1983
Locally finite groups whose irreducible modules are finite dimensional. Zbl 0511.16012
Hartley, B.
1983
Cyclically separated groups. Zbl 0503.20009
Hartley, Brian; Lennox, John C.; Rhemtulla, Akbar H.
1982
The socle in group rings. Zbl 0345.16011
Hartley, B.; Richardson, J. S.
1977
The Schur-Zassenhaus theorem in locally finite groups. Zbl 0357.20022
Hartley, B.
1976
On residually finite p-groups. Zbl 0343.20020
Hartley, B.
1976
A class of modules over a locally finite group. III. Zbl 0342.20001
Hartley, B.
1976
Subgroups of locally normal groups. Zbl 0335.20017
Hartley, B.
1976
A class of modules over a locally finite group. II. Zbl 0308.20032
Hartley, B.
1975
On the normalizer condition and barely transitive permutation groups. Zbl 0305.20019
Hartley, B.
1974
Basis normalizers and Carter subgroups in a class of locally finite groups. Zbl 0231.20012
Graddon, C. J.; Hartley, B.
1972
On some questions of P. Hall concerning simple, generalized soluble groups. Zbl 0165.03703
Hartley, B.; Stonehewer, S. E.
1968
The order-types of central series. Zbl 0136.27603
Hartley, B.
1965
On some simple locally finite groups constructed by Meierfrankenfeld. Zbl 0859.20032
Hartley, B.
1995
Errata and addenda to “On homomorphisms between special linear groups over division rings”. Zbl 0818.20062
Dicks, Warren; Hartley, B.
1994
On modular relation modules and residual nilpotence. Zbl 0785.20006
Gilchrist, Andrew J.; Hartley, Brian
1993
Finite and locally finite groups containing a small subgroup with small centralizer. Zbl 0804.20025
Hartley, B.
1992
A remark on association schemes on finite groups. Zbl 0677.20020
Bier, T.; Cheng, K. N.; Hartley, B.
1988
Carter subgroups and injectors in a class of locally finite groups. Zbl 0656.20033
Hartley, B.; Tomkinson, M. J.
1988
Powers of the augmentation ideal. Zbl 0501.16015
Hartley, B.
1982
Augmentation powers of locally finite groups. Zbl 0321.20026
Hartley, B.
1976
Groups of automorphisms of Abelian $$\mathcal S_1$$-groups. Zbl 0303.20020
Hartley, B.
1975
A note on $${\mathfrak J}$$-reducibility. Zbl 0249.20020
Hartley, B.
1972
The stability group of a descending invariant series of subgroups. Zbl 0189.31002
Hartley, B.
1967
Locally finite groups embeddable in stability groups. Zbl 0142.25801
Hartley, B.
1966
Confined subgroups of simple locally finite groups and ideals of their group rings. Zbl 0866.16016
Hartley, B.; Zalesskij, A. E.
1997
Non-simplicity of locally finite barely transitive groups. Zbl 0904.20031
Hartley, B.; Kuzucuoǧlu, M.
1997
Centralizers of finite nilpotent subgroups in locally finite groups. Zbl 0870.20025
Belyaev, V. V.; Hartley, B.
1996
Simple locally finite groups. Zbl 0855.20030
Hartley, B.
1995
Finite and locally finite groups. Proceedings of the NATO Advanced Study Institute held in Istanbul, Turkey, 14-27 August 1994. Zbl 0827.00038
Hartley, B. (ed.); Seitz, G. M. (ed.); Borovik, A. V. (ed.); Bryant, R. M. (ed.)
1995
On some simple locally finite groups constructed by Meierfrankenfeld. Zbl 0859.20032
Hartley, B.
1995
On characters of coprime operator groups and the Glauberman character correspondence. Zbl 0797.20007
Hartley, Brian; Turull, Alexandre
1994
On quasi-permutation representations of finite groups. Zbl 0838.20007
Burns, J. M.; Goldsmith, B.; Hartley, B.; Sandling, R.
1994
The ideal lattices of the complex group rings of finitary special and general linear groups over finite fields. Zbl 0814.16022
Hartley, B.; Zalesskij, A. E.
1994
Errata and addenda to “On homomorphisms between special linear groups over division rings”. Zbl 0818.20062
Dicks, Warren; Hartley, B.
1994
On simple periodic linear groups – dense subgroups, permutation representations, and induced modules. Zbl 0805.20037
Hartley, B.; Zalesskij, A. E.
1993
A group theoretical characterization of simple, locally finite, finitary linear groups. Zbl 0791.20039
Hall, J. I.; Hartley, B.
1993
On modular relation modules and residual nilpotence. Zbl 0785.20006
Gilchrist, Andrew J.; Hartley, Brian
1993
A general Brauer-Fowler theorem and centralizers in locally finite groups. Zbl 0713.20023
Hartley, Brian
1992
Finite and locally finite groups containing a small subgroup with small centralizer. Zbl 0804.20025
Hartley, B.
1992
Centralizers of elements in locally finite simple groups. Zbl 0682.20020
Hartley, B.; Kuzucuoğlu, M.
1991
Homology of higher relation modules and torsion in free central extensions of groups. Zbl 0688.20031
Hartley, B.; Stöhr, R.
1991
A note on the homology of free abelianized extensions. Zbl 0756.20007
Hartley, Brian; Stöhr, Ralph
1991
On homomorphisms between special linear groups over division rings. Zbl 0729.20020
Dicks, Warren; Hartley, B.
1991
Locally graded minimal non $$CC$$-groups are $$p$$-groups. Zbl 0778.20016
Hartley, B.; Otal, Javier; Peña, Juan Manuel
1991
On the quotient of a free group by the commutator of two normal subgroups. Zbl 0755.20004
Hartley, B.; Kuz’min, Yu. V.
1991
A note on fixed-point-free actions of finite groups. Zbl 0703.20022
Bell, S. D.; Hartley, B.
1990
On characters and fixed points of coprime operator groups. Zbl 0703.20023
Hartley, B.; Isaacs, I. M.
1990
Centralizing properties in simple locally finite groups and large finite classical groups. Zbl 0728.20034
Hartley, Brian
1990
Free groups in normal subgroups of unit groups and arithmetic groups. Zbl 0678.16006
Hartley, B.
1989
Actions on lower central factors of free groups. Zbl 0664.20007
Hartley, B.
1989
Fixed points of automorphisms of certain locally finite groups and Chevalley groups. Zbl 0619.20018
Hartley, B.
1988
A remark on association schemes on finite groups. Zbl 0677.20020
Bier, T.; Cheng, K. N.; Hartley, B.
1988
Carter subgroups and injectors in a class of locally finite groups. Zbl 0656.20033
Hartley, B.; Tomkinson, M. J.
1988
Finite soluble groups admitting an automorphism of prime power order with few fixed points. Zbl 0629.20007
Hartley, Brian; Turau, Volker
1987
Centralizers in locally finite groups. Zbl 0633.20016
Hartley, B.
1987
Sjogren’s theorem on dimension subgroups. Zbl 0633.20004
Cliff, G.; Hartley, B.
1987
Relative higher relation modules, and a property of irreducible K- representations of $$GL_ n(K)$$. Zbl 0632.20005
Hartley, B.
1986
Finite quasi-simple groups of 2$$\times 2$$ matrices over a division ring. Zbl 0559.20036
Hartley, B.; Shahabi Shojaei, M. A.
1985
Monomorphisms and direct limits of finite groups of Lie type. Zbl 0547.20024
Hartley, B.; Shute, G.
1984
Topics in the theory of nilpotent groups. Zbl 0555.20025
Hartley, B.
1984
A note on free presentations and residual nilpotence. Zbl 0538.20010
Hartley, B.
1984
Rings, modules and linear algebra. A further course in algebra describing the structure of Abelian groups and canonical forms of matrices through the study of rings and modules. Reprint. Zbl 0527.20001
Hartley, B.; Hawkes, T. O.
1983
Locally finite groups whose irreducible modules are finite dimensional. Zbl 0511.16012
Hartley, B.
1983
Periodic locally soluble groups containing an element of prime order with Cernikov centralizer. Zbl 0495.20011
Hartley, B.
1982
Powers of the augmentation ideal in group rings of infinite nilpotent groups. Zbl 0451.20005
Hartley, B.
1982
Finite groups of matrices over division rings. Zbl 0489.20038
Hartley, B.; Shahabi Shojaei, M. A.
1982
Cyclically separated groups. Zbl 0503.20009
Hartley, Brian; Lennox, John C.; Rhemtulla, Akbar H.
1982
Powers of the augmentation ideal. Zbl 0501.16015
Hartley, B.
1982
Finite soluble groups containing an element of prime order whose centralizer is small. Zbl 0447.20014
Hartley, B.; Meixner, T.
1981
Relative higher relation modules. Zbl 0467.20009
Hartley, B.; Lichtman, A. I.
1981
Free subgroups in the unit groups of integral group rings. Zbl 0458.16007
Hartley, B.; Pickel, P. F.
1980
Periodic groups in which the centralizer of an involution has bounded order. Zbl 0429.20039
Hartley, B.; Meixner, Th.
1980
On finite complete groups. Zbl 0415.20013
Hartley, Brian; Robinson, Derek J. S.
1980
Some theorems of Hall-Higman type for small primes. Zbl 0394.20011
Hartley, B.
1980
Periodic locally soluble groups with the minimal condition on centralizers. Zbl 0427.20028
Bryant, R. M.; Hartley, B.
1979
Finite groups of automorphisms of locally soluble groups. Zbl 0406.20032
Hartley, B.
1979
Subgroups of finite index in profinite groups. Zbl 0394.20020
Hartley, Brian
1979
A dual approach to Cernikov modules. Zbl 0365.20047
Hartley, B.
1977
Uncountable Artinian modules and uncountable soluble groups satisfying Min-n. Zbl 0356.20030
Hartley, B.
1977
Profinite and residually finite groups. Zbl 0377.20023
Hartley, B.
1977
Injective modules over group rings. Zbl 0345.16010
Hartley, B.
1977
The socle in group rings. Zbl 0345.16011
Hartley, B.; Richardson, J. S.
1977
Group rings with simple augmentation ideals. Zbl 0334.16015
Bonvallet, K.; Hartley, B.; Passman, D. S.; Smith, M. K.
1976
Splitting over the locally nilpotent residual for a class of locally finite groups. Zbl 0355.20037
Hartley, B.
1976
Subnormality, ascendancy, and the minimal condition on subgroups. Zbl 0342.20018
Hartley, B.; Peng, T. A.
1976
A conjecture of Bachmuth and Mochizuki on automorphisms of soluble groups. Zbl 0356.20029
Hartley, Brian
1976
The Schur-Zassenhaus theorem in locally finite groups. Zbl 0357.20022
Hartley, B.
1976
On residually finite p-groups. Zbl 0343.20020
Hartley, B.
1976
A class of modules over a locally finite group. III. Zbl 0342.20001
Hartley, B.
1976
Subgroups of locally normal groups. Zbl 0335.20017
Hartley, B.
1976
Augmentation powers of locally finite groups. Zbl 0321.20026
Hartley, B.
1976
Splitting over nilpotent and hypercentral residuals. Zbl 0309.20008
Hartley, B.; Tomkinson, M. J.
1975
On the normalizer condition and barely transitive permutation groups. Zbl 0319.20052
Hartley, B.
1975
A class of modules over a locally finite group. II. Zbl 0308.20032
Hartley, B.
1975
Groups of automorphisms of Abelian $$\mathcal S_1$$-groups. Zbl 0303.20020
Hartley, B.
1975
On the normalizer condition and barely transitive permutation groups. Zbl 0305.20019
Hartley, B.
1974
Finite p-groups acting on p-soluble groups. Zbl 0273.20015
Hartley, B.; Rae, A.
1973
A note on the normalizer condition. Zbl 0264.20031
Hartley, B.
1973
A class of modules over a locally finite group. I. Zbl 0278.20022
Hartley, B.
1973
Complements, baseless subgroups and Sylow subgroups of infinite wreath products. Zbl 0253.20057
Hartley, B.
1973
Sylow theory in locally finite groups. Zbl 0248.20036
Hartley, B.
1972
Serial subgroups of locally finite groups. Zbl 0231.20011
Hartley, B.
1972
Sylow p-subgroups and local p-solubility. Zbl 0246.20022
Hartley, B.
1972
Some examples of locally finite groups. Zbl 0238.20045
Hartley, B.
1972
Basis normalizers and Carter subgroups in a class of locally finite groups. Zbl 0231.20012
Graddon, C. J.; Hartley, B.
1972
A note on $${\mathfrak J}$$-reducibility. Zbl 0249.20020
Hartley, B.
1972
Saturated formations and Sylow structure in locally finite groups. Zbl 0215.10605
Gardiner, A. D.; Hartley, B.; Tomkinson, M. J.
1971
Sylow subgroups of locally finite groups. Zbl 0221.20040
Hartley, B.
1971
Injective modules and soluble groups satisfying the minimal condition for normal subgroups. Zbl 0206.03101
Hartley, B.; McDougall, D.
1971
A theorem of Sylow type for finite groups. Zbl 0213.03402
Hartley, B.
1971
$${\mathfrak F}$$-abnormal subgroups of certain locally finite groups. Zbl 0221.20039
Hartley, B.
1971
Rings, modules and linear algebra. A further course in algebra describing the structure of Abelian groups and canonical forms of matrices through the study of rings and modules. Zbl 0206.01603
Hartley, B.; Hawkes, T. O.
1970
The residual nilpotence of wreath products. Zbl 0194.03402
Hartley, B.
1970
The formation generated by a finite group. Zbl 0191.02201
Bryant, R. M.; Bryce, R. A.; Hartley, B.
1970
On Fischer’s dualization of formation theory. Zbl 0169.34201
Hartley, B.
1969
On some questions of P. Hall concerning simple, generalized soluble groups. Zbl 0165.03703
Hartley, B.; Stonehewer, S. E.
1968
Injektoren endlicher auflösbarer Gruppen. Zbl 0183.02902
Fischer, B.; Gaschütz, W.; Hartley, B.
1967
Locally nilpotent ideals of a Lie algebra. Zbl 0147.28201
Hartley, B.
1967
The stability group of a descending invariant series of subgroups. Zbl 0189.31002
Hartley, B.
1967
The stability group of a series of subgroups. Zbl 0145.24605
Hall, P.; Hartley, B.
1966
Locally finite groups embeddable in stability groups. Zbl 0142.25801
Hartley, B.
1966
The order-types of central series. Zbl 0136.27603
Hartley, B.
1965
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#### Cited by 588 Authors

 31 Hartley, Brian 30 Shumyatsky, Pavel 21 Khukhro, Evgeniĭ I. 21 Kurdachenko, Leonid Andriĭovych 13 Gonçalves, Jairo Zacarias 13 Kuzucuoğlu, Mahmut 13 Robinson, Derek J. S. 13 Vorob’ev, Nikolaĭ Timofeevich 12 Hauck, Peter 11 Guo, Wenbin 11 Lytkina, Dar’ya Viktorovna 11 Mazurov, Viktor Danilovich 11 Stewart, Ian Nicholas 10 Ercan, Gülin 10 Tomkinson, M. J. 9 Beidleman, James Clark 9 Dixon, Martyn Russell 9 Revin, Danila Olegovitch 8 Cossey, John 8 del Río, Angel 8 Güloglu, Ismail Suayip 8 Passman, Donald Steven 8 Praeger, Cheryl Elisabeth 8 Puglisi, Orazio 8 Zalesski, Alexandre Efimovich 7 Arıkan, Ahmet 7 Asar, Ali Osman 7 Bryce, Robert Aitken 7 Doerk, Klaus 7 Jespers, Eric 7 Lichtman, Alexander I. 7 Makarenko, N. Yu. 7 Mikhaĭlov, Roman Valer’evich 7 Otal, Javier 7 Passi, Inder Bir Singh 7 Phillips, Richard E. 7 Subbotin, Igor Yakov 6 Amayo, Ralph K. 6 Leinen, Felix 6 Sehgal, Sudarshan Kumar 6 Stöhr, Ralph 5 Ballester-Bolinches, Adolfo 5 Ersoy, Kıvanç 5 Förster, Peter 5 Jabara, Enrico 5 Smith, Howard 5 Wehrfritz, Bertram A. F. 4 AlAli, Mashhour I. M. 4 Blessenohl, Dieter 4 Buturlakin, Aleksandr Aleksandrovich 4 Cutolo, Giovanni 4 de Giovanni, Francesco 4 De Melo, Emerson 4 Endimioni, Gérard 4 Flavell, Paul 4 Hawkes, Trevor O. 4 Hering, Christoph H. 4 Makan, Amirali R. 4 Neumann, Anni 4 Spiga, Pablo 4 Sysak, Yaroslav P. 4 Turau, Volker 4 Tushev, Anatoliĭ V. 4 Vasil’ev, Andreĭ Viktorovich 4 Vedernikov, Viktor Aleksandrovich 4 Wiegold, James 4 Zaĭtsev, Dmitriĭ Ivanovich 3 Akhavan-Malayeri, Mehri 3 Aldosray, Falih A. M. 3 Bhandari, Ashwani K. 3 Bryant, Roger M. 3 Chambers, Graham A. 3 Dolfi, Silvio 3 Espuelas, Alberto 3 Evans, Martin J. 3 Frécon, Olivier 3 Göbel, Rüdiger 3 Gupta, Narain Datt 3 Guralnick, Robert Michael 3 Guterman, Alexander Èmilevich 3 Heineken, Hermann 3 Kegel, Otto H. 3 Kondrat’ev, Anatoliĭ Semenovich 3 Kuz’min, Yu. V. 3 Lytkina, Daria Victorovna 3 Meixner, Thomas 3 Musson, Ian M. 3 Polcino Milies, César 3 Russo, Alessio 3 Shalev, Aner 3 Snider, Robert L. 3 Stonehewer, Stewart Edward 3 Trabelsi, Nadir 3 Trombetti, Marco 3 Wagner, Frank Olaf 3 Yang, Nanying 3 Yang, Yong 2 Abbaspour, Mohammad Hassan 2 Arıkan, Aynur 2 Artemovych, Orest Dem”yanovych ...and 488 more Authors
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#### Cited in 105 Serials

 144 Journal of Algebra 65 Archiv der Mathematik 44 Communications in Algebra 28 Mathematische Zeitschrift 27 Journal of Pure and Applied Algebra 24 Israel Journal of Mathematics 24 Proceedings of the American Mathematical Society 24 Siberian Mathematical Journal 21 Algebra and Logic 21 Rendiconti del Seminario Matematico della Università di Padova 18 Journal of Group Theory 15 Mathematical Proceedings of the Cambridge Philosophical Society 13 Glasgow Mathematical Journal 13 Monatshefte für Mathematik 12 Compositio Mathematica 12 Journal of Soviet Mathematics 11 Mathematical Notes 11 Ukrainian Mathematical Journal 11 Transactions of the American Mathematical Society 9 Bulletin of the Australian Mathematical Society 9 International Journal of Algebra and Computation 8 Proceedings of the Edinburgh Mathematical Society. Series II 7 Linear Algebra and its Applications 7 Journal of the Australian Mathematical Society 7 Journal of Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 The Journal of Symbolic Logic 4 Forum Mathematicum 4 Mediterranean Journal of Mathematics 4 Sibirskie Èlektronnye Matematicheskie Izvestiya 3 International Journal of Mathematics and Mathematical Sciences 3 Ricerche di Matematica 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Algebra Colloquium 3 International Journal of Group Theory 3 Journal of Siberian Federal University. Mathematics & Physics 2 Discrete Mathematics 2 International Journal of Control 2 Journal of Mathematical Analysis and Applications 2 Arkiv för Matematik 2 Advances in Mathematics 2 Journal of Computational and Applied Mathematics 2 Journal of Optimization Theory and Applications 2 Topology and its Applications 2 Note di Matematica 2 Journal of Algebraic Combinatorics 2 Doklady Mathematics 2 Algebras and Representation Theory 2 Trudy Instituta Matematiki 2 Central European Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Bulletin of Mathematical Sciences 1 Discrete Applied Mathematics 1 International Journal of Systems Science 1 Linear and Multilinear Algebra 1 Mathematics of Computation 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Boletim da Sociedade Brasileira de Matemática 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematical Programming 1 Proceedings of the Japan Academy. Series A 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Discrete Mathematics and Applications 1 Mathematical Programming. Series A. Series B 1 Russian Journal of Mathematical Physics 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Finite Fields and their Applications 1 The Journal of Fourier Analysis and Applications 1 Representation Theory 1 Geometry & Topology 1 Matematicheskie Trudy 1 Journal of Applied Statistics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Lobachevskii Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Journal of Fixed Point Theory and Applications 1 Groups, Geometry, and Dynamics 1 European Journal of Pure and Applied Mathematics 1 Journal of $$K$$-Theory 1 Journal of Commutative Algebra 1 Problemy Fiziki, Matematiki i Tekhniki ...and 5 more Serials
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#### Cited in 38 Fields

 621 Group theory and generalizations (20-XX) 113 Associative rings and algebras (16-XX) 59 Nonassociative rings and algebras (17-XX) 20 Mathematical logic and foundations (03-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 14 Topological groups, Lie groups (22-XX) 12 Combinatorics (05-XX) 8 Commutative algebra (13-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Number theory (11-XX) 6 Functional analysis (46-XX) 6 Systems theory; control (93-XX) 5 Algebraic topology (55-XX) 5 Manifolds and cell complexes (57-XX) 5 Operations research, mathematical programming (90-XX) 4 Abstract harmonic analysis (43-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Category theory; homological algebra (18-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX)

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