A Note on Maximal Coverings of Groups

REFERENCES

• Abdollahi , A. , Ataei , M. J. , Amiri , S. M. J. , Hassnabadi , A. M. ( 2005 ). Groups with a maximal irredundant 6-cover . Comm. Algebra 33 : 3225 – 3238 .
   Web of Science ®Google Scholar
• Abdollahi , A. , Amiri , S. M. J. ( 2007 ). On groups with an irredundant 7-cover . J. Pure Appl. Algebra 209 ( 2 ): 291 – 300 .
   Web of Science ®Google Scholar
• Abdollahi , A. , Amiri , S. M. J. ( 2008 ). Minimal coverings of completely reducible groups . Publ. Math. Debrecen 72 ( 1–2 ): 167 – 172 .
   Web of Science ®Google Scholar
• Brodie , M. A. ( 2003 ). Uniquely covered groups . Algebra Colloquium 10 ( 3 ): 101 – 108 .
   Web of Science ®Google Scholar
• Bryce , R. A. , Fedri , V. , Serena , L. ( 1997 ). Covering groups with subgroups . Bull. Austral. Math. Soc. 55 : 469 – 476 .
   Web of Science ®Google Scholar
• Bryce , R. A. , Serena , L. ( 2001 ). A note on minimal coverings of groups by subgroups, Special issue on group theory . J. Aust. Math. Soc. 71 ( 2 ): 159 – 168 .
   Google Scholar
• Cohn , J. H. E. ( 1994 ). On n-sum groups . Math. Scand. 75 : 44 – 58 .
   Web of Science ®Google Scholar
• Greco , D. ( 1953 ). Sui alcuni gruppi finite che sono soma di cinque sottagruppi . Rend. Sem. Mat. Univ. Padova 22 : 313 – 333 .
   Google Scholar
• Greco , D. ( 1956 ). Sui gruppi che sono somma di quatro o cinque sottagruppi . Rend. Accad. Sci. Fis. Math. Napoli 23 ( 4 ): 49 – 59 .
   Google Scholar
• Humphreys , J. F. ( 1996 ). A Course in Group Theory . New York : Oxford University Press .
   Google Scholar
• Hupert , B. ( 1967 ). Endliche Grüppen . Berlin : Springer-Verlag .
   Google Scholar
• Jamali , A. , Mousavi , H. ( 2005 ). A note on the σ-covers of finite soluble groups . Algebra Colloquium 12 ( 4 ): 691 – 697 .
   Google Scholar
• Maróti , A. ( 2005 ). Covering the symmetric groups with proper subgroups . J. Combin. Theory Ser. A 110 ( 1 ): 97 – 111 .
   Web of Science ®Google Scholar
• Robinson , D. J. S. ( 1982 ). A Course in the Theory of Groups . New York : Springer-Verlag .
   Google Scholar
• Tomkinson , M. J. ( 1987 ). Groups covered by finitely many coset or subgroups . Comm. in Algebra 15 : 845 – 859 .
   Web of Science ®Google Scholar
• Tomkinson , M. J. ( 19997 ). Groups as the union of proper subgroups . Math. Scand. 81 : 189 – 198 .
   Google Scholar
• Scorza , G. ( 1926 ). I gruppi che possono pensasi come soma di tre loro sottogruppi . Boll. Un. Mat. Ital. 5 : 216 – 218 .
   Google Scholar
• Zhang , J. ( 2006 ). Finite groups as the union of proper subgroups . Serdica Math. J. 32 ( 2–3 ): 259 – 268 .
   Google Scholar
• Communicated by J. Zhang.
   Google Scholar