On twisted group ring isomorphism problem for p-groups
Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 368-381
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In this article, we explore the problem of determining isomorphisms between the twisted complex group algebras of finite $p$-groups. This problem bears similarity to the classical group algebra isomorphism problem and has been recently examined by Margolis-Schnabel. Our focus lies on a specific invariant, referred to as the generalized corank, which relates to the twisted complex group algebra isomorphism problem. We provide a solution for non-abelian $p$-groups with generalized corank at most three.
Mots-clés :
twisted group algebras, projective representations, Schur multiplier
Kaur, Gurleen; Kaur, Surinder; Singla, Pooja. On twisted group ring isomorphism problem for p-groups. Glasgow mathematical journal, Tome 66 (2024) no. 2, pp. 368-381. doi: 10.1017/S0017089524000041
@article{10_1017_S0017089524000041,
author = {Kaur, Gurleen and Kaur, Surinder and Singla, Pooja},
title = {On twisted group ring isomorphism problem for p-groups},
journal = {Glasgow mathematical journal},
pages = {368--381},
year = {2024},
volume = {66},
number = {2},
doi = {10.1017/S0017089524000041},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000041/}
}
TY - JOUR AU - Kaur, Gurleen AU - Kaur, Surinder AU - Singla, Pooja TI - On twisted group ring isomorphism problem for p-groups JO - Glasgow mathematical journal PY - 2024 SP - 368 EP - 381 VL - 66 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000041/ DO - 10.1017/S0017089524000041 ID - 10_1017_S0017089524000041 ER -
%0 Journal Article %A Kaur, Gurleen %A Kaur, Surinder %A Singla, Pooja %T On twisted group ring isomorphism problem for p-groups %J Glasgow mathematical journal %D 2024 %P 368-381 %V 66 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089524000041/ %R 10.1017/S0017089524000041 %F 10_1017_S0017089524000041
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