Japanese journal of mathematics. New series

Online ISSN : 1861-3624
Print ISSN : 0289-2316

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Issue 1 Pages 1-

Predecessor

Volume 10, Issue 1

Displaying 1-9 of 9 articles from this issue

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On the James number of cyclic maps of spheres

Kouyemon IRIYE

1984Volume 10Issue 1 Pages 1-8
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.1

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On Chern-Simons invariants of spherical space forms

Kenji TSUBOI

1984Volume 10Issue 1 Pages 9-28
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.9

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Subrings of finitely generated rings over a pseudo-geometric ring

Nobuharu ONODA

1984Volume 10Issue 1 Pages 29-53
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.29

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Finiteness conditions for G-CW complexes

Kunihiko IIZUKA

1984Volume 10Issue 1 Pages 55-69
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.55

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Homogeneous Kählerian manifolds

Hirohiko SHIMA

1984Volume 10Issue 1 Pages 71-98
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.71

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Multicommodity flows in graphs II

Haruko OKAMURA

1984Volume 10Issue 1 Pages 99-116
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.99

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Equivariant transfer for finite G-coverings

Hisashi FUKAGAWA

1984Volume 10Issue 1 Pages 117-135
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.117

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The stable behavior of the augmentation quotients of some groups of order p⁴, I

Kazunori HORIBE, Ken-Ichi TAHARA

1984Volume 10Issue 1 Pages 137-157
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.137

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We list the stable structure of these six groups below.
(1) G₁=Z_p×‹x, y, z|x^p=y^p=z^p=[x, z]=[y, z]=1, [x, y]=z›,
n₀=3p-2, π=2
Q_3p-2(G₁)=Z_p^{(1/2)(p+1)(p²+p+1)}, Q_3p-1(G₁)=Z_p^{(1/2)(p+1)(p²+p+1)+1}
(2) G₂=‹u, x, y|u^p=x^p=y^p²=[u, y]=[x, y]=1, [u, x]=y^p›,
n₀=3p-2, π=1,
Q_3p-2(G₂)=Z_p^(2p²+p+1).
(3) G₃=Z_p×‹x, y|x^p=y^p²=1, [x, y]=y^p›,
n₀=3p-2, π=1,
Q_3p-2(G₃)=Z_p^(2p²+p+1).
(4) G₄=Z_p⁽²⁾×Z_p²
n₀=3p-2, π=1,
Q_3p-2(G₄)=Z_p²×Z_p^(2p²+p-1).
(5) G₅=‹u, x, y|u^p=x^p=y^p²=[u, x]=[u, y^p]=1, [u, y]=x, [x, y]=y^p›,
n₀=4p-3, π=2,
Q_4p-3(G₅)=Z_p^{(1/2)(3p²+1)+p}, Q_4p-2(G₅)=Z_p^{(3/2)(p²+1)+p}
(6) G₆=‹u, x, y|u^p=x^p=y^p²=[u, x]=[x, y]=1, [u, y]=x›,
n₀=4p-3, π=2,
Q_4p-3(G₆)=Z_p²×Z_p^{(3/2)(p²-1)+p}, Q_4p-2(G₆)=Z_p²×Z_p^{(1/2)(3p²-1)+p}.

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The stable behavior of the augmentation quotients of some groups of order p⁴, II

Ken-Ichi TAHARA, Tsuneyo YAMADA

1984Volume 10Issue 1 Pages 159-184
Published: 1984
Released on J-STAGE: December 16, 2008

DOIhttps://doi.org/10.4099/math1924.10.159

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