<p>Normalizers and centralizers of subgroups in non-Abelian groups of small order</p>

Shilin I.A.; Aleksandrov A.A.

Issue 3, 2012 Vol. 4

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Normalizers and centralizers of subgroups in non-Abelian groups of small order

Shilin I.A., Aleksandrov A.A.

pdf (1462K) / Annotation

List of references:

А. А. Александров, А. И. Нижников, И. А. Шилин. Компьютерное вычисление подгрупп и нормальных делителей неабелевых групп порядка не выше 20 // Преподаватель XXI век. — 2011. — № 1, часть 2. — С. 214–220.
И. А. Шилин, В. В. Китюков. Гомоморфная устойчивость пар групп малого порядка // Прикладная дискретная математика. — 2011. — Т. 14, № 4. — С. 22–27.
И. А. Шилин, В. В. Китюков. Методические особенности применения компьютерного моделирования при решении задач общей алгебры // Педагогическая информатика. — 2011. — № 1. — С. 22–27.
И. А. Шилин, В. В. Китюков, А. А. Александров. Вычисление групп гомоморфизмов и проверка гомоморфной устойчивости пар конечных групп // Прикладная информатика. — 2012. — № 1. — С. 111–115.
S. M. Belcastro, G. Sherman. Counting cenralizers in finite groups // Mathematical Magazine. — 1994. — V. 67, no. 5. — P. 366–374. — DOI: 10.1080/0025570X.1994.11996252. — MathSciNet: MR1307800.
J. J. Cannon. A general purpose group theory program / Proceedings of the Second Internat. Conf. Theory of Groups. — Berlin etc: Springer, 1974. — P. 204–217. — MathSciNet: MR0354823.
J. J. Cannon. Computers in group theory: a survey // Communications of the ACM. — 1969. — V. 12, no. 1. — P. 3–12. — DOI: 10.1145/362835.362837. — MathSciNet: MR0290613.
D. F. Holt. The CAYLEY group theory system // Notices. Amer. Math. Soc. — 1988. — V. 35, no. 8. — P. 1135–1140.
I. Miyamoto. Improvement of a function computing normilizers for permutation groups / Mathematical Software – ICMS 2010. — Berlin etc: Springer, 2010. — P. 62–68. — MathSciNet: MR3663170.
C. E. Praeger. Computers in algebra: new answers, new questions. — 2001. — V. 38, no. 44. — P. 763–781. — MathSciNet: MR1838096.

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