On the problem of homology stability for congruence subgroups
On the problem of homology stability for congruence subgroups
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关于同余子群的同源稳定性问题
DOI：
10.1080/00927878408823099
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发表时间：
1984
影响因子：
0.7
通讯作者：
Ruth Charney
中科院分区：
文献类型：
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作者：
Ruth Charney
在一般线性群G=GL(R)和环R的其他经典群的同调稳定性问题中，G=GL(R)是一个很有兴趣的问题。N n这类MST的一般定理是A，Suslin(121和15，van der Kallen[8]的定理，适用于任何满足Bass稳定值域条件之一(参看2.3)的环R。其他这样的结果包括Bull：[Z]，Charney[4]，Dwyer[7]，Maazen[9]，Quillen[Ill，Suslin[13]，Vcgtmann[i5]，[16]和Wager[L：]，
I n sLderable interest in the problem of homology stability for general linear groups, G= GL (R), and other classical groups of a ring R wirh unit. n n The mst general theorems of this type are those of A, Suslin (121 and 15, van der Kallen [8], which apply to any ring R satisfying one of Bass' stable range conditions (cf, 2.3). Other such results include those of Bore:[Z], Charney [4], Dwyer [7], Maazen [9], Quillen [Ill, Suslin [13], Vcgtmann [i5],[16], and Wagoner [l:],