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초록· 키워드
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Let G⊗G be the tensor square of a group G. The set of all
elements a in G such that a⊗g = 1_⊗, for all g in G, is called the tensor
centre of G and denoted by Z^⊗(G). In this paper some properties of the
tensor centre of G are obtained and the capability of the pair of groups
(G,G‘) is determined. Finally, the structure of J_2 (G) will be described,
where J_2 (G) is the kernel of the map k : G ⊗ G → G'.
목차
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참고문헌 (9)
참고문헌 신청
C. Miller / 1952 / The second homology group of a group; relations among commutators / Proc. Amer. Math. Soc. 3 : 588 ~ 595
G. J. Ellis / 1995 / Tensor products and q-crossed modules / J. London Math. Soc. 51 (2) : 243 ~ 258
G. J. Ellis / 1996 / Capability, homology, and central series of a pair of groups / J. Algebra 179 (1) : 31 ~ 46
J. H. C. Whitehead / 1950 / A certain exact sequence / Ann. of Math. 52 : 51 ~ 110
N. D. Gilbert / 1987 / The nonabelian tensor square of a free product of groups / Arch. Math. 48 (5) : 369 ~ 375
G. J. Ellis / 1995 / Tensor products and q-crossed modules / J. London Math. Soc. 51 (2) : 243 ~ 258
G. J. Ellis / 1996 / Capability, homology, and central series of a pair of groups / J. Algebra 179 (1) : 31 ~ 46
J. H. C. Whitehead / 1950 / A certain exact sequence / Ann. of Math. 52 : 51 ~ 110
N. D. Gilbert / 1987 / The nonabelian tensor square of a free product of groups / Arch. Math. 48 (5) : 369 ~ 375
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