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The fundamental idea of this article is to present an effective way to obtain the large groups in terms of the split extension obtained by a finite cyclic group and a free abelian group rank $2$. The proof of the main result on largeness property of this specific split extension groups will be given by using the connection of large groups with the groups having deficiency one presentations.
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참고문헌 (21)
참고문헌 신청
M. Asaad / 2004 / Finite groups with some subgroups of prime power order S-quasinormally embedded / Communications in Algebra 32(5):2019~2027
W. A. Bogley / 1993 / Two-dimensional homotopy and combinatorial group theory / Cambridge Univ. Press :157~188
J. O. Button / 2008 / Large groups of deficiency 1 / Israel Journal of Mathematics 167(1):111~140
A. Sinan Çevik / 2000 / The efficiency of standard wreath product / Proceedings of the Edinburgh Mathematical Society 43(2):415~423
A. SINAN ÇEVIK / 2011 / THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS / International Journal of Algebra and Computation 13(01):1~16
W. A. Bogley / 1993 / Two-dimensional homotopy and combinatorial group theory / Cambridge Univ. Press :157~188
J. O. Button / 2008 / Large groups of deficiency 1 / Israel Journal of Mathematics 167(1):111~140
A. Sinan Çevik / 2000 / The efficiency of standard wreath product / Proceedings of the Edinburgh Mathematical Society 43(2):415~423
A. SINAN ÇEVIK / 2011 / THE p-COCKCROFT PROPERTY OF THE SEMI-DIRECT PRODUCTS OF MONOIDS / International Journal of Algebra and Computation 13(01):1~16
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