پیوندهای مفید
اخبار و اعلانات
آمار
| تعداد نشریات | 44 |
| تعداد شمارهها | 1,877 |
| تعداد مقالات | 15,278 |
| تعداد مشاهده مقاله | 43,731,781 |
| تعداد دریافت فایل اصل مقاله | 17,564,048 |
On normal automorphisms of n-periodic products of finite cyclic groups | ||
| International Journal of Group Theory | ||
| مقاله 4، دوره 2، شماره 3، آذر 2013، صفحه 39-47 اصل مقاله (461.51 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2013.2348 | ||
| نویسندگان | ||
| Varuzhan Atabekyan* 1؛ Amirjan Gevorgyan2؛ Ani Khachatryan3؛ Ashot Pahlevanyan3 | ||
| 1Department of Mathematics and mekhanics Yerevan State University | ||
| 2Department of Applied Mathematics, Russian-Armenian Slavonic University | ||
| 3Department of Mathematics and Mechanics, Yerevan State University | ||
| چکیده | ||
| We prove that each normal automorphism of the $n$-periodic product of cyclic groups of odd order $rge1003$ is inner, whenever $r$ divides $n$. | ||
| کلیدواژهها | ||
| We prove that each normal automorphism of the $n$-periodic product of cyclic groups of odd order $r\ge1003$ is inner؛ whenever $r$ divides $n$ | ||
| مراجع | ||
|
S. I. Adian (1976) Periodic product of groups Number theory,
mathematical analysis and their applications, A
collection of articles dedicated to Ivan Matveev
Vinogradov on the occasion of his eightieth birthday,
Trudy Mat. Inst. Steklov 142, 3-21
S.~I.~Adian (1979) The Burnside problem and identities in groups Translated from the Russian by John Lennox and James Wiegold. Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], Springer-Verlag, Berlin-New York 95
S.~I.~Adian and I.~G.~Lysenok (1991) On groups all of whose
proper subgroups of which are finite cyclic Izv. Akad. Nauk SSSR Ser. Mat. 55 (5), 933-990
S. I. Adian (2010) Once more on periodic products
of groups and on a problem of A. I. Maltsev Mat. Zametki 88 (6), 803-810
V. S. Atabekyan (2010) Normalizers of free subgroups of free Burnside groups of odd period $ngeq1003$ Fundam. Prikl. Mat., 15 no. 1 (2009) 3--21, translation in J. Math. Sci. (N. Y.) 166 (6), 691-703
V. S. Atabekyan (2011) Normal automorphisms of free Burnside groups Izv. Ross. Akad. Nauk Ser. Mat., 75 no. 2 (2011) 3--18, translation in Izv. Math. 75 (2), 223-237
V. S. Atabekyan (2011) On CEP-subgroups of $n$-periodic products Izv. Nats. Akad. Nauk Armenii Mat., 46 no. 5 (2011) 15--24, translation in J. Contemp. Math. Anal. 46 (5), 237-242
V.~S.~Atabekyan (2011) On normal subgroups in the periodic products of S.\,I.~Adian Tr. Mat. Inst. Steklova, Algorithmic aspects of algebra and logic, Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday 274, 15-31
V. S. Atabekyan and A. L. Gevorgyan (2011) On outer normal automorphisms of periodic products of groups J. Contemp. Math. Anal. 46 (6), 289-292
O.~Bogopolski, E.~Kudryavtseva and H.~Zieschang (2004) Simple curves on surfaces and an analog of a
theorem of Magnus for surface groups Mat. Zametki 247 (3), 595-609
G.~Endimioni (2002) Pointwise inner automorphisms in a free nilpotent group Q. J. Math. 53 (4), 397-402
Ch. K. Gupta and N. S. Romanovsky (1996) Normal automorphisms of a pro-$p$-group that is free in the variety $\mathcal{N}_2 \mathcal{A}$ Algebra i Logika 35 (3), 249-267
S.~V.~Ivanov (1995) On periodic products of groups Internat. J. Algebra Comput. 5 (1), 7-17
A.~Lubotzky (1980) Normal automorphisms of free groups J. Algebra 63 (2), 494-498
A.~Minasyan and D.~Osin (2010) Normal automorphisms of relatively hyperbolic groups Trans. Amer. Math. Soc. 362 (11), 6079-6103
M. V. Neshchadim (1996) Free product of groups does not have outer normal automorphisms Algebra i Logika 35 (5), 562-566
A. Yu. Olshanskii' (1989) A. I. Maltsev's problem on operations over groups Trudi Sem. I. G. Petrovskogo 14, 225-249
V. A. Romankov (1983) Normal automorphisms of discrete groups Sibirsk. Mat. Zh. 24 (4), 138-149
N. S. Romanovsky (1997) Normal automorphisms of free solvable pro-$p$-groups Algebra i Logika 36 (4), 441-453
| ||
|
آمار تعداد مشاهده مقاله: 5,235 تعداد دریافت فایل اصل مقاله: 3,163 |
||