Pairwise -connected Products of Certain Classes of Finite Groups

References

• Agrawal , R. K. 1975 . Finite groups whose subnormal subgroups permute with all Sylow subgroups . Proc. Am. Math. Soc. , 47 : 77 – 83 .
   Google Scholar
• Alejandre , M. , Ballester-Bolinches , A. and Pedraza-Aguilera , M. C. 2001 . Finite soluble groups with permutable subnormal subgroups . J. Algebra , 240 : 705 – 722 .
   Google Scholar
• Ali , A. 2000 . On the Wielandt length of a finite group . Proc. R. Soc. Edinburgh , 130A : 1217 – 1226 .
   Google Scholar
• Ballester-Bolinches , A. and Pedraza-Aguilera , M. C. 1999 . On finite soluble products of 𝒩-connected groups . J. Group Theory , : 291 – 298 .
   Google Scholar
• Ballester-Bolinches , A. and Esteban-Romero , R. 2001 . Sylow permutable subnormal subgroups of finite groups II . Bull. Aus. Math. Soc. , 64 : 479 – 486 .
   Google Scholar
• Ballester-Bolinches , A. and Esteban-Romero , R. 2002 . Sylow permutable subnormal subgroups of finite groups . J. Algebra , 251 : 727 – 738 .
   Google Scholar
• Ballester-Bolinches , A. , Beidleman , J. C. and Heineken , H. 2003a . Groups in which Sylow subgroups and subnormal subgroups permute . Illinois J. Math. , 31 : 63 – 69 .
   Google Scholar
• Ballester-Bolinches , A. , Beidleman , J. C. and Heineken , H. 2003b . A local approach to certain classes of finite groups . Comm. Algebra , 31 : 5931 – 5942 .
   Google Scholar
• Ballester-Bolinches , A. , Cossey , J. and Estaban-Ramero , R. 2003 . On finite groups generated by strongly cosubnormal subgroups . J. Algebra , 259 : 226 – 234 .
   Google Scholar
• Beidleman , J. C. and Heineken , H. 2003 . Finite soluble groups whose subnormal subgroups permute with certain classes of subgroups . J. Group Theory , 6 : 139 – 158 .
   Google Scholar
• Beidleman , J. C. and Heineken , H. 2003 . Pronormal and subnormal subgroups and permutability . Bolletino U.M.I. , 66 ( 8 ) : 605 – 615 .
   Google Scholar
• Beidleman , J. C. , Brewster , B. and Robinson , D. J. S. 1999 . Criteria for permutability to be transitive in finite groups . J. Algebra , 222 : 400 – 412 .
   Google Scholar
• Beidleman , J. C. , Hauck , P. and Heineken , H. 2004 . Totally permutable products of certain classes of finite groups . J. Algebra , 176 : 826 – 835 .
   Google Scholar
• Bryce , R. A. and Cossey , J. 1989 . The Wielandt subgroup of a finite soluble group . J. London Math. Soc. , 40 ( 2 ) : 244 – 256 .
   Google Scholar
• Carocca , A. 1996 . A note on the product of ℱ-subgroups in a finite group . Proc. Edinburgh Math. Soc. , 39 : 37 – 42 .
   Google Scholar
• Cossey , J. 1995 . Finite groups generated by subnormal T-subgroups . Glasgow Math. J. , 37 : 363 – 371 .
   Google Scholar
• Gaschütz , W. 1957 . Gruppen, in denen das normalteilersein transitiv ist . J. Reine Angew Math. , 198 : 87 – 92 .
   Google Scholar
• Hauck , P. , Martínez-Pastor , A. and Pérez-Ramos , M. D. 2003 . Products of 𝒩-connected groups . Illinois J. Math. , 47 : 1033 – 1045 .
   Google Scholar
• Kegel , O. H. 1962 . Sylow-Gruppen und subnormalteiler endlicher Gruppen . Math. Z. , 78 : 205 – 221 .
   Google Scholar
• Knapp , W. 2000 . Cosubnormality and the hypercenter . J. Algebra , 234 : 609 – 619 .
   Google Scholar
• Lennox , J. C. and Stonehewer , S. E. 1987 . Subnormal Subgroups Oxford
   Google Scholar
• Robinson , D. J. S. 1968 . A note on finite groups in which normality is transitive . Proc. Am. Math. Soc. , 19 : 933 – 937 .
   Google Scholar
• Robinson , D. J. S. 1996 . A Course in the Theory of Groups , 2nd Springer .
   Google Scholar
• Robinson , D. J. S. 2001 . The structure of finite groups in which permutability is a transitive relation . J. Aust. Math. Soc. , 70 : 143 – 159 .
   Google Scholar
• Schmid , P. 1998 . Subgroups permutable with all Sylow-subgroups . J. Algebra , 207 : 285 – 293 .
   Google Scholar
• Zacher , G. 1964 . I gruppi risolubili finiti i sottogruppi di composizione coincidano con i sottogruppi quasi-normali . Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. , 37 ( 8 ) : 150 – 154 .
   Google Scholar
• #Communicated by M. Dixon.
   Google Scholar