On identities defining
$t$-groups

O. Macedońska

1. W. Gaschütz Gruppen in denen das Normalteilersein transitiv ist// J. Reine Angew. Math. V. 198– 1957 p.87–92

2. N.D. Gupta Some group-laws equivalent to the commutative law // Arch. Math. V.17 - 1966 p. 97–102

3. L.G. Kovács and M.F. Newman Hanna Neumann's problems on varieties of groups Proc. Second Internat. Conf. Theory of Groups, Lecture Notes in Math. V. 372 , Springer-Verlag,addr Berlin, Heidelberg, New York– 1974 p.417–431

4. O. Macedońska, A. Storozhev Varieties of $t$-groups // Communications in Algebra (to appear) (https://doi.org/10.1080/00927879708825938)

5. B.H. Neumann Ascending derived series// Compositio Math. V. 13–1956 p.47–64

6. H. Neumann Varieties of groups, Springer-Verlag,addr Berlin, Heidelberg, New York–1967

7. A.Yu. Ol'shanskii Varieties in which all finite groups are abelian// Mat. Sbornik V. 126–1985 p. 59–82

8. D.J.S. Robinson Groups in which normality is a transitive relation// Proc. Camb. Phil. Soc. V. 60–1964 p.21–38

	On identities defining $t$-groups
Author	O. Macedońska olga@zeus.polsl.gliwice.pl Institute of Mathematics, Silesian Technical University,ul. Kaszubska 23, 44-100 Gliwice, Poland
Abstract	We discuss the situation leading to the conjecture that a variety of groups consists of $t$-groups if and only if it is pseudoabelian.
Keywords	variety of groups, t-groups, pseudoabelian
DOI	doi:10.30970/ms.8.2.189-191
Reference	1. W. Gaschütz Gruppen in denen das Normalteilersein transitiv ist// J. Reine Angew. Math. V. 198– 1957 p.87–92 2. N.D. Gupta Some group-laws equivalent to the commutative law // Arch. Math. V.17 - 1966 p. 97–102 3. L.G. Kovács and M.F. Newman Hanna Neumann's problems on varieties of groups Proc. Second Internat. Conf. Theory of Groups, Lecture Notes in Math. V. 372 , Springer-Verlag,addr Berlin, Heidelberg, New York– 1974 p.417–431 4. O. Macedońska, A. Storozhev Varieties of $t$-groups // Communications in Algebra (to appear) (https://doi.org/10.1080/00927879708825938) 5. B.H. Neumann Ascending derived series// Compositio Math. V. 13–1956 p.47–64 6. H. Neumann Varieties of groups, Springer-Verlag,addr Berlin, Heidelberg, New York–1967 7. A.Yu. Ol'shanskii Varieties in which all finite groups are abelian// Mat. Sbornik V. 126–1985 p. 59–82 8. D.J.S. Robinson Groups in which normality is a transitive relation// Proc. Camb. Phil. Soc. V. 60–1964 p.21–38
Pages	189-191
Volume	8
Issue	2
Year	1997
Journal	Matematychni Studii
Full text of paper	pdf
Table of content of issue	html

On identities defining $t$-groups